## Sharkovsky

*Oleksandr Mykolayovich*

## Publications

Attractors of trajectories and their basins (Russian), Naukova Dumka, Kiev, 2013, 320p.

Method of invariants in theory of functional equations (Russian),

*Proceedings of Inst. Math., Acad. Sci. of Ukraine*, vol. 95, Kiev, 2013, 255p. (with Peljuh, G. P.).Dynamics of one-dimensional maps [Translated from Russian],

*Mathematics and its Applications*, vol. 407, Kluwer Academic Publ., Dordrecht, 1997, 272p. (with Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V.).Difference equations and their applications [Translated from Russian],

*Mathematics and its Applications*, vol. 250, Kluwer Academic Publ., Dordrecht, 1993, 358p. (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Dynamics of one-dimensional maps (Russian), Naukova Dumka, Kiev, 1989, 216p. (with Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V.).

Difference equations and their applications (Russian), Naukova Dumka, Kiev, 1986, 280p. (with Maistrenko, Yu. L.; Romanenko, E. Yu.).

Introduction to the theory of functional equations (Russian), Naukova Dumka, Kiev, 1974, 119p. (with Peljuh, G. P.).

Ideal turbulence phenomenon and transmission line with Chua's diode, Chapter 16 in

*Chaos, CNN, Memristors and Beyond*, World Scientific, 2013, 202-210 (with Romanenko E.Yu.).Homoclinic trajectories in one-dimensional dynamics,

*J. Difference Equations and Appl.*, 18, no. 4, 2012, 579-588 (with Fedorenko, V.V.).Whether Chaos can be achieved in Piecewise Linear Boundary Value Problems,

*J. Difference Equations & Dynamical Systems*, 18, no.**1-2**, 2010, 1-9 (with Romanenko E.Yu.).On the Coexistence of Homoclinic and Periodic Trajectories,

*Nonlinear Dynamics (Russian Sci. J.)*, 6, no.**1**, 2010, 207-217 (with Fedorenko V.V.).Difference Equations and Nonlinear Boundary Problems for Hyperbolic Systems,

*Discrete dynamics and difference equations (Proceed. ICDEA 2007, Lisbon, Portugal)*, World Scientific, 2010, 404-409 (with Severino R., Vinagre S.).Difference Equations with Continuous Time: Theory and Applications,

*Discrete dynamics and difference equations (Proceed. ICDEA 2007, Lisbon, Portugal)*, World Scientific, 2010, 104-119 (with Romanenko E.Yu.).Piecewise Linear Boundary Value Problems,

*Grazer Math. Berichte*, 354, 2009, 237-253 (with Romanenko E.Yu.).Sharkovsky Ordering,

*Scholarpedia*(www.scholarpedia.org/article/Sharkovsky_Ordering).Common Periodic Trajectories of Interval Maps,

*J. Fixed Point Theory Appl.*, 3, no.**1**, 2008, 57-62 (with Matviichuk M.Yu.).One-Dimensional Dynamics and Winnerless Competition of Patterns,

*3rd Intern. Conf. "Physics and Control" (PhysCon 2007)*, Potsdam, Germany, Sept. 3-7, 2007 (http://lib.physcon.ru/download/p1347.pdf).Dynamical Systems,

*Encyclopediya Suchasnoi Ukrainy*, 7, 2007.The Theory of Dynamical Systems and its Impact on Teaching Mathematics,

*Suchasna matematyka i matematychna osvita. Zdobytky, problemy, perspectyvy*, Dragomanov Univ. Publ., Kyiv, 2007, 59-71.Trajectories of Intervals in One-dimensional Dynamical Systems,

*J. Difference Equations and Appl.*, 13, no.**8-9**, 2007, 821-828 (with Fedorenko V.V., Romanenko E.Yu.).Computing Topological Invariants in Boundary Value Problems Reducible to Difference Equations,

*Proceed. Intern. Conf. "Difference equations, special functions and ortogonal polynomials"*, Munich, Germany, 25-30 July 2005, World Scientific, 2007, 741-751 (with Severino R., Sousa Ramos J., Vinagre S.).Ideal Turbulence and Problems of its Visualization,

*Proceed. Intern. Conf. "Difference equations, special functions and ortogonal polynomials"*, Munich, Germany, 25-30 July 2005, World Scientific, 2007, 617-635.Dynamical Systems and Turbulence Modeling,

*Ukrain. Mat. Zh.*, 59, 2007, no. 2, 217-230 (with Romanenko E.Yu.).Symbolic dynamics in boundary value problem for systems with two spatial variables,

*Grazer Math. Berichte*, 350, 2006, 210-224 (with Severino R., Sousa Ramos J., Vinagre S.).Topological Invariants in a Model of a Time-Delayed Chua's Circuit,

*Nonlinear Dynamics*, 44, 2006, 81-90 (with Severino R., Sousa Ramos J., Vinagre S.).Ideal turbulence,

*Nonlinear Dynamics*, 44, 2006, 15-27.One-dimensional bifurcations in some infinite-dimensional dynamical systems and ideal turbulence,

*Regular and chaotic dynamics*, 11, no.**2**, 2006, 319-328 (with Fedorenko V.V., Romanenko E.Yu.).One-dimensional maps,

*"Encyclopedia of Nonlinear Science" (ed. Alwyn Scott)*, Routledge, New York and London, 2005, 665-668 (with Fedorenko, V.V.).Turbulence, ideal,

*"Encyclopedia of Nonlinear Science" (ed. Alwyn Scott)*, Routledge, New York and London, 2005, 955-957 (with Romanenko, E.Yu.).Attractors of one-dimensional maps generated by boundary value problems,

*Second Intern. Conference "Physics and Control"*, St. Petersburg, August 24-26, 2005, 600-601 (with Sousa Ramos, J., Berezovsky, S.A.).Ideal turbulence and bifurcations in infinite-dimensional dynamical systems,

*Second Intern. Conference "Physics and Control"*, St.Petersburg, August 24-26, 2005, 216-219 (with Fedorenko, V.V.).Difference equations and boundary value problems,

*New Progress in Difference Equations*, Proc. ICDEA'2001, Taylor & Francis, London, 2004, 3-22.Difference equations and dynamical systems generated by some classes of boundary value problems,

*Proceedings of the Steklov Institute of Mathematics*, v. 244, Moscow, 2004, 264-279 (with Romanenko, E.Yu.).One-dimensional dynamics generated by boundary value problems for the wave equation,

*Proc. ECIT'02, Grazer Math. Berichte*, Nr 346, 2004, 255-270 (with Lozi, R., Sousa Ramos, J.).Symbolic dynamics in boundary value problems,

*Proc. ECIT'02, Grazer Math. Berichte*, Nr 346, 2004, 393-402 (with Severino, R.,Sousa Ramos, J., Vinagre, S.).Ideal Turbulence: Definition,

*Proc. ECIT'02, Grazer Math. Berichte*, Nr 346, 2004, 403-412.Ideal Turbulence,

*Proc. Intern. Conf. "Nonlinear Dynamics of Electronic Systems" (9-13 May, 2004, Evora, Portugal)*, 2004, 34-41.Topological invariants in a model of a time-delayed Chua's circuit,

*Proc. Intern. Conf. "Nonlinear Dynamics of Electronic Systems" (9-13 May, 2004, Evora, Portugal)*, 2004, 312-315 (with Severino, R., Sousa Ramos, J., Vinagre, S.).Dynamical systems generated by boundary problems. Ideal Turbulence. Computer Turbulence,

*Pratsi Ukrainskogo matematychnogo kongresu, Dynamichni systemy*, 2003, 125-149.Phase transitions in correct-incorrect calculations for some evolution problems,

*Intern. J. Bifurcation and Chaos 13*, 2003, 1811-1821 (with Berezovsky, S.A.).Ideal Turbulence: Definition and Models,

*Proc. Intern. Conf. "Physics and Control" (20-22 August, 2003)*, Petersburg, Russia, 2003, 23-30 (with Romanenko, E.Yu., Berezovsky, S.A.).About calculating the thermal regime of solidation with the consideration of crystallization,

*Dopovidi NAN Ukrainy*, 12, 2002, 7-11 (with Berezovsky, A.A., Berezovsky, S.A., Feldman E.P., Yurchenko V.M.).Asymptotic discontinuity of smooth solutions of nonlinear q-difference equations (Russian),

*Ukrain. Mat. Zh. 52*, 2000, no.**12**, 1615-1629 (with Derfel, G.; Romanenko, E.).Long-time properties of solutions of simplest nonlinear q-difference equations,

*J. Difference Equations and Applications 6*, 2000, no.**5**, 485-511 (with Derfel, G.; Romanenko, E.).Dido's functional equation revisited (Dedicated to Professor Zenon Moszner on the occasion of his seventieth birthday),

*Rocznik Nauk.-Dydakt. Prace Mat.*, no.**17**, Krakow, 2000, 143-150 (with Kahlig, Peter; Matkowski, Janusz).Asymptotic behaviour of solutions of simplest nonlinear q-difference equations,

*Proc. 7th Intern. Conf. on Functional Equations and Inequalities (Zlocki, 1999)*, Prace Matematyczne, Krakow, 2000 (with Derfel, G.; Romanenko, E.).Recovering trajectories of chaotic piecewise linear systems,

*Proc. 2nd Intern. Conf. "Control of Oscillations and Chaos" (COC'2000)*, vol.**2**, St.Petersburg, Russia, 2000, 380-383 (with Fedorenko, A. D.; Aziz-Alaoui, M.A..; Lozi R.).Transitions of "correct-incorrect" numerical calculations for solutions of some problems. "Phase transitions" in computer turbulence,

*Proc. 2nd Intern. Conf. "Control of Oscillations and Chaos" (COC'2000)*, vol.**1**, St.Petersburg, Russia, 2000, 6-9 (with Berezovsky, S. A.).Dynamics of the solutions of simplest nonlinear boundary value problems (Ukrainian),

*Ukrain. Mat. Zh. 51*, 1999, no.**6**, 810-826; translation in Ukrainian Math. J. 51, 1999, no.**6**, 907-925 (with Romanenko, E. Yu.).From boundary value problems to difference equations: a method of investigation of chaotic vibrations,

*Intern. J. Bifurcation and Chaos 9*, 1999, no.**7**, 1285-1306 (with Romanenko, E. Yu.).Asymptotic properties of solutions of a class of boundary value problems (Ukrainian),

*Dopovidi Nats. Akad. Nauk Ukrainy, Matem. Prirodozn. Tekh. Nauky*, 1999, no.**3**, 43-48 (with Romanenko, O. Yu.).Iteration of continuous functions and dynamics of solutions for some boundary value problems,

*European Conference on Iteration Theory (Muszyna-Zlockie, 1998)*, Ann. Math. Siles., 1999, no.**13**, 243-255.Computer Turbulence,

*Proc. Intern. Conf. "Self-similar systems" (Dubna, 1998)*, Joint Inst. Nuclear Researchs, Dubna, 1999, 251-259 (with Berezovsky, S. A.).Self-structuring and self-stochasticity in difference equations and some boundary value problems,

*Proc. Intern. Conf. "Self-similar systems" (Dubna, 1998)*, Joint Inst. Nuclear Researchs, Dubna, 1999, 237-250 (with Vereikina, M. B.; Romanenko, E. Yu.).Continuous dependence on singular parameters in a neutral differential equation,

*Proc. Intern. Sci. Conf. on Mathematics (Zilina, Slovakia, 1998)*, Zilina Univ., 1998, 97-103 (with Ivanov, A. F.).Self-stochasticity in deterministic boundary value problems,

*Nonlinear Boundary Value Problems 9*, Inst. Appl. Math.and Mech., NAS of Ukraine, Donetsk, 1998, 174-184 (with Vereikina, M. B.; Romanenko, E. Yu.).Solution behaviour in a class of difference-differential equations,

*Bull. Austral. Math. Soc. 57*, 1998, no.**1**, 37-48 (with Fedorenko, A. D.; Fedorenko, V. V.; Ivanov, A. F.).An information signal transmission method by chaotic systems,

*Nats. Akad. Nauk Ukrainy*, Inst. Mat. Preprint 1998, no.**4**, 12 pp. (with Fedorenko, A. D.).Shadowing property of dynamical systems and stability of orbit prolongations,

*Ukrainian Math. J. 49*, 1997, no.**8**, 1016-1024 (with Vereikina, M. B.).Structural turbulence in boundary value problems,

*Proc. First Intern. Conf. "Control of Oscillations and Chaos"*, vol.**3**, St.Petersburg, Russia, 1997, 492-497 (with Vereikina, M. B.; Romanenko, E. Yu.).Recovering trajectories of chaotic piecewise linear dynamical systems,

*Proc. First Intern. Conf. "Control of Oscillations and Chaos"*, vol.**2**, St.Petersburg, Russia, 1997, 230-233 (with Fedorenko, A. D.; Aziz-Alaoui, M.A..; Lozi R.).Coexistence of periodic orbits for a class of discontinuous mappings (Ukrainian),

*Dopovidi Nation. Akad. Nauk Ukrainy*, 1996, no.**11**, 21-25 (1997) (with Ivanov, A. F.; Fedorenko, V. V.; Fedorenko, O. D.).From one-dimensional to infinite-dimensional dynamical systems: Ideal turbulence (Ukrainian),

*Ukrain. Mat. Zh. 48*, 1996, no.**12**, 1604-1627; translation in Ukrainian Math. J. 48, 1996, no.**12**, 1817-1842 (with Romanenko, E. Yu.).Farey tree for stable periodic waves in a transmission line,

*CADSEM Preprint N 96-008*, 1996, Deakin University (with Ivanov, A. F.; Fedorenko, V. V.; Fedorenko, A. D.).From One-Dimensional to Infinite-Dimensional Dynamical Systems,

*Proc. of the 3rd Intern. specialist workshop on Nonlinear Dynamics of Electronic Systems (NDES'95) (Dublin, Ireland)*, 1995, 3-11.Self-Stochasticity in Dynamical Systems as a Scenario for Deterministic Spatio-Temporal Chaos,

*Chaos and Nonlinear Mechanics*, Ser.B, 4, 1995, 172-181 (with Romanenko, E. Yu.).Universal phenomena in some infinite-dimensional dynamical systems,

*Intern. J. Bifurcation and Chaos 5*, 1995, no.**5**, 1419-1425; Reprint of the paper in World Sci. Ser. Nonlinear Sci. Ser. B, 8, Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 1995, 157-163.Self-structuring and self-similarity in boundary value problems,

*Intern. J. Bifurcation and Chaos 5*, 1995, no.**5**, 1407-1418; Reprint of the paper in World Sci. Ser. Nonlinear Sci. Ser. B, 8, Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 1995, 145-156 (with Vereikina, M. B.; Romanenko, E. Yu.).Dry turbulence and period-adding phenomena from a 1-D map with time delay,

*Intern. J. Bifurcation and Chaos 5*, 1995, no.**5**, 1283-1302; Reprint of the paper in World Sci. Ser. Nonlinear Sci. Ser. B, 8, Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 1995, 21-40 (with Deregel, Ph.; Chua, L. O).Coexistence of cycles of a continuous map of the line into itself [Translation from Ukrain. Mat. Zh. 16 (1964), no.

**1**, 61-71],*Intern. J. Bifurcation and Chaos 5*, 1995, no.**5**, 1263-1273; Reprint of the paper in World Sci. Ser. Nonlinear Sci. Ser. B, 8, Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 1995, 1-11.Universal phenomena in solution bifurcations of some boundary value problems,

*J. Nonlinear Math. Phys*. 1, 1994, no.**2**, Kiev, 147-157 (with Sivak, Andrij).Ideal turbulence in an idealized time-delayed Chua's circuit,

*Intern. J. Bifurcation and Chaos 4*, 1994, no.**2**, 303-309.Oscillations in singularly perturbed delay equations,

*Dynamics reported: Expositions in dynamical systems 1*, Springer, Berlin, 1992, 164-224 (with Ivanov, A. F.).Autostochasticity: attractors of deterministic problems can contain random functions (Russian),

*Dokl. Akad. Nauk Ukrainy*, 1992, no.**10**, 33-37 (with Romanenko, E. Yu.).Ideal turbulence: attractors of deterministic systems may lie in the space of random fields,

*Intern. J. Bifurcation and Chaos 2*, 1992, no.**1**, 31-36 (with Romanenko, E. Yu.).Problems of turbulence theory and iteration theory,

*Proc. European Conf. Iteration Theory (ECIT-91)*, World Sci. Publ., Singapore, 1992, 242-252 (with Romanenko, E. Yu.).On Newton's method (Ukrainian),

*U sviti matematyki [In the World of Mathematics] 20*, Radianska shkola, Kiev, 1991, 18-31 (with Ivanov, A. F.).On topological dynamics of triangular maps of the plane,

*Proc. European Conf. Iteration Theory (ECIT-1989)*, World Sci. Publ., Singapore, 1991, 177-183 (with Kolyada, S. F.).Types of recurrence in simple dynamical systems (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint, 1991, no.**2**, 16 pp. (with Fedorenko, V. V.).A method of difference equations in a resonator problem with a nonlinear reflector (Russian),

*Dokl. Akad. Nauk SSSR 309*, 1989, no.**2**, 327-331; translation in Soviet Phys. Dokl. 34, 1989, no.**11**, 977-979 (1990) (with Lukin, K. A.; Maistrenko, Yu. L.; Shestopalov, V. P.).Characterizations of weakly chaotic maps of the interval,

*Proc. Amer. Math. Soc. 110*, 1990, no.**1**, 141-148 (with Fedorenko, V. V.; Smital, Ya.).Dynamics of difference equations (Ukrainian),

*U sviti matematyki [In the World of Mathematics] 19*, Radianska shkola, Kiev, 1989, 77-90 (with Ivanov, A. F.).How complicated can be one-dimensional dynamical systems: descriptive estimates of sets,

*Dynamical systems and ergodic theory (Warsaw, 1986)*, Banach Center Publ., 23, Warsaw, 1989, 447-453.Self-stochasticity in deterministic systems (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1989, no.**66**, 15 pp. (with Romanenko, E. Yu.).Characterization of some classes of maps of an interval with zero topological entropy (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1989, no.**58**, 18p. (with Smital, Ya.; Fedorenko, V. V.).A map with zero topological entropy that has a continuum of Cantor minimal sets (Russian),

*Dynamical systems and turbulence*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1989, 109-117.Classification of one-dimensional dynamical systems,

*European Conf. on Iteration Theory (ECIT-87, Caldes de Malavella, 1987)*, World Sci. Publ., 1989, 42-55.Oscillation of solutions of one class differential-difference equations (Russian),

*Proc. of Vekua Institute of Appl. Math.*, 3 (3), Tbilisi, 1988 (with Ivanov, A. F.).Attractors of difference equations and turbulence,

*Plasma theory and nonlinear and turbulent processes in physics (Kiev, 1987)*, World Sci. Publ., Singapore, 1988, 520-536 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Strange attractors (Ukrainian),

*U sviti matematyki [In the World of Mathematics] 18*, Radianska shkola, Kiev, 1987, 61-80 (with Ivanov, A. F.).Difference equations with continuous time as mathematical models of the structure emergences,

*Dynamical systems and environmental models (Eisenach, 1986)*, Math. Ecol., Akademie-Verlag, Berlin, 1987, 40-49 (with Maistrenko, Yu. L.).Qualitative investigation of some boundary value problems: complex oscillation regimes (Russian),

*Functional-differential equations and their application to nonlinear boundary value problems*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1987, 74-87 (with Romanenko, E. Yu.).One-dimensional initial-boundary value problems of electrodynamics with nonlinear boundary conditions (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1987, no.**39**, 28p. (with Lukin, K. A.; Maistrenko, Yu. L.; Shestopalov, V. P.).Asymptotic periodicity of solutions of difference equations with continuous time (Russian),

*Ukrain. Mat. Zh. 39*, 1987, no.**1**, 123-129 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Dry turbulence (Russian),

*Mathematical mechanisms of turbulence*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1986, 75-89 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Asymptotic properties of a semigroup of mappings of the interval (Russian),

*Dynamical systems and differential-difference equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1986, 75-89 (with Romanenko, E. Yu.).Qualitative investigation of some problems for the wave equation (Russian),

*Dynamical systems and differential-difference equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1986, 5-13 (with Aliev, S. Ya.).Boundary value problems for simple hyperbolic systems. Pattern formation and transition to chaos (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1985, no.**39**, 31 p. (with Vereikina, M. B.; Maistrenko, V. L.; Romanenko, E. Yu.).Turbulence and simple hyperbolic systems,

*Mathematical analysis, Teubner-Texte Math. 79*, Leipzig, 1985, 220-235 (with Maistrenko, Yu. L.).Dry turbulence (Russian),

*Proc. II Intern. Workshop "Nonlinear and Turbulent Processes" (Kiev, 1985)*, 2, Naukova Dumka, 1985, 114-118.Descriptive estimates for the set of homoclinic points of a dynamical system (Russian),

*Differential-difference equations and problems of mathematical physics*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1984, 109-115.Oscillations of relaxation and turbulence type: differential-difference models (Russian),

*9th Intern. Conf. on Nonlinear Oscillations (Kiev, 1981)*, vol.**2**, Naukova Dumka, Kiev, 1984, 430-434."Dry" turbulence,

*Nonlinear and turbulent processes in physics (Kiev, 1983)*, vol.**3**, Harwood Academic Publ., 1984, 1621-1626.Singular perturbations of difference equations with continuous time (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1984, no.**33**, 40 pp. (with Aliev, S. Ya.; Ivanov, A. F.; Maistrenko, Yu. L.).Nonlinear boundary value problems for one-dimensional hyperbolic systems: asymptotically discontinuous solutions and their bifurcations (Russian),

*Dokl. Akad. Nauk Ukrain. SSR*, Ser. A, 1984, no.**12**, 27-30 (with Krasnyuk, I. B.; Maistrenko, Yu. L.).Development of the theory of differential equations at the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR (Russian),

*Ukrain. Mat. Zh. 36*, 1984, no.**5**, 597-601 (with Shevelo, V. N.).Chaos in simple difference, differential-difference and partial differential equations (Russian),

*Sem. Inst. Prikl. Mat.*, Dokl. 18, Tbilisi, 1984, 18-26.The set of almost-recurrent points of a dynamical system (Russian),

*Dokl. Akad. Nauk Ukrain. SSR*, Ser. A, 1984, no.**1**, 6-9 (with Vereikina, M. B.).Turbulence and simple hyperbolic systems (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1984, no.**2**, 23 p. (with Maistrenko, Yu. L.).Difference equations and dynamics of population size (Russian),

*Mathematical methods in biology (Katsiveli, 1979)*, Naukova Dumka, Kiev, 1983, 143-156.Dry turbulence,

*Intern. Math. Congress (Warszawa)*, 1983, Short reports 10, p.12.Universal order and universal rate of bifurcations of solutions of differential-difference equations (Russian),

*Approximate and qualitative methods of the theory of functional differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1983, 98-106 (with Sivak, A. G.).Recurrence in one-dimensional dynamical systems (Russian),

*Approximate and qualitative methods of the theory of functional differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1983, 35-46 (with Vereikina, M. B.).C^∞-mappings of an interval with attracting cycles of arbitrarily large periods (Russian),

*Ukrain. Mat. Zh. 35*, 1983, no.**4**, 537-539 (with Ivanov, A. F.).On some results of qualitive investigation of differential-functional equations of first order (Russian),

*II Intern. Conf. "Func.-Diff. Syst. and Related Topics" (Zielona Gora, 1982)*, Poland (with Shevelo, V. N.; Ivanov, A. F.).Difference equations and the dynamics of the size of populations (Russian),

*Akad. Nauk Ukrain. SSR*, Inst. Mat. Preprint 1982, no.**18**, 22 p.On some properties of discrete dynamical systems,

*Iteration theory and its applications (Toulouse, 1982)*, Colloq. Internat. CNRS, 332, Paris, 1982, 153-158.Asymptotically periodic solutions of the differential-difference equations of neutral type,

*Proc. II Conf. "Differential Equations and Applications" (Ruse, 1981)*, Tech. Univ., Ruse, 1982 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Asymptotic behavior of solutions of differential-difference equations (Russian),

*Proc. II Conf. on Differential Equations and Applications (Ruse, 1981)*, Tech. Univ., Ruse, 1982, 835-846.Stability of a dynamical system's property of having a homoclinic trajectory (Russian),

*Oscillation and stability of solutions of functional-differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1982, 111-113 (with Fedorenko, V. V.).Asymptotic behavior of bounded solutions of systems of difference equations (Russian),

*Oscillation and stability of solutions of functional-differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1982, 75-86 (with Romanenko, E.Yu.; Slyusarchuk, L. M.).Periodic solutions of certain classes of differential-difference equations (Russian),

*Oscillation and stability of solutions of functional-differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1982, 25-34 (with Ivanov, A. F.).The asymptotic behavior of solutions of differential-difference equations (Russian),

*Qualitative methods for investigating nonlinear differential equations and nonlinear oscillations (Uzhgorod, 1980)*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1981, 171-199 (with Romanenko, E. Yu.).The measure of repellers of one-dimensional smooth mappings (Russian),

*Functional-differential and difference equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1981, 16-22 (with Kolyada, S. F.).Asymptotically periodic solutions of a class of differential-difference equations (Russian),

*Dokl. Akad. Nauk Ukrain. SSR*, Ser. A, 1981, no.**7**, 27-31 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Integral-difference equations and dynamics of the size of populations (Russian),

*Differential equations and their application 29*, Vilnius, 1981, 69-78 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Qualitative analysis of some types of differential-difference equations,

*Functional differential systems and related topics (Proc. First Intern. Conf., Blazejewko, 1979)*, Higher College Engrg., Zielona Gora, 1980, 334-340.Qualitative investigation of a class of differential-difference equations (Russian),

*Qualitative investigations of functional differential equations*, Naukova Dumka, Kiev, 1980, 129-144 (with Romanenko, E. Yu.).Continuous mappings of an interval with closed sets of periodic points (Russian),

*An investigation of differential and differential-difference equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1980, 137-145 (with Fedorenko, V. V.).Qualitative behavior of solutions of quasilinear differential-difference equations (Russian),

*An investigation of differential and differential-difference equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1980, 38-50 (with Maistrenko, Yu. L.; Romanenko, E. Yu.).Functional-differential equations that are close to functional equations (Russian),

*Asymptotic methods in the theory of nonlinear oscillations (Proc. All-Union Conf. Asymptotic Methods in Nonlinear Mechanics, Katsiveli, 1977)*, Naukova Dumka, Kiev, 1979, 178-209 (with Romanenko, E. Yu.).Functional-differential equations with a finite group of argument transformations (Russian),

*Asymptotic behavior of solutions of functional-differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1978, 118-142.Asymptotic behavior of the solutions of linear functional-differential equations (Russian),

*Asymptotic behavior of solutions of functional-differential equations*, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1978, 5-39 (with Romanenko, E. Yu.).On oscillations generated delay (Russian),

*Third National Congress on Theor. Appl. Mechanics*, (Varna, 1977), Reports 1, Bulg. Acad. Sci, Sofia (with Shevelo, V. N.).Classical functional equations: fundamental concepts, methods and results (Russian),

*Differential equations with deviating argument (Proc. 4th All-Union Conf., Kiev, 1975)*, Naukova Dumka, Kiev, 1977, 290-297.Development of the theory of differential equations with deviating argument at the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR (Russian),

*Differential equations with deviating argument (Proc. 4th All-Union Conf.*, Kiev, 1975), Naukova Dumka, Kiev, 1977, 215-221 (with Mitropolsky, Yu. A.).Linear difference equations with periodic coefficients (Russian),

*Qualitative methods in the theory of differential equations with deviating argument*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1977, 91-100 (with Peljuh, G. P.).Lowering the number of transformations of the argument in functional and differential-functional equations (Russian),

*Qualitative methods in the theory of differential equations with deviating argument*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1977, 57-70 (with Maistrenko, Yu. L.).Structural theory of differentiable dynamical systems and weakly nonwandering points (Russian),

*VII Intern. Konferenz uber Nichtlineare Schwingungen (Berlin, 1975)*, Akademie-Verlag,Berlin, 1977, 193-200.Oscillatory nature and asymptotic behavior of the solutions of a class of differential equations with deviating argument (Russian),

*Problems of the asymptotic theory of nonlinear oscillations*, Naukova Dumka, Kiev, 1977, 257-263 (with Shevelo, V. N.).The state and prospects of development of the theory of differential equations with deviating argument. Fourth All-Union Conference on the Theory and Applications of Differential Equations with Deviating Argument (Kiev, 1975) (Russian),

*Ukrain. Mat. Zh. 28*, 1976 no.**2**, 279-282 (with Mitropolsky, Yu. A.; Romanenko, E. Yu.; Shevelo, V. N.).The Fourth All-Union Conference on the Theory and Applications of Differential Equations with Deviating Argument (Kiev, September 23-26, 1975) (Russian),

*Uspehi Mat. Nauk 31*, 1976, no.**3**, 231-238 (with Mitropolsky, Yu. A.; Myshkis, A. D.).Functional and functional-differential equations in which the deviation of the argument depends on the unknown function (Russian),

*Functional and differential-difference equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 148-155.The stability of the solutions of differential equations with retarded argument (Russian),

*Functional and differential-difference equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 141-147 (with Khusainov, D. Ya.).General solution of a system of functional equations in the neighborhood of a singular point (Russian),

*Functional and differential-difference equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 100-109 (with Peljuh, G. P.).Globally stable dynamical systems (Russian),

*Proc. Sixth Intern. Conf. Nonlinear Oscillations*, Poznan, 1972, Part II, Polish Sci. Publ., Warsaw, 1974, 61-66.General solution of a certain class of nonlinear differential-functional equations of neutral type (Russian),

*Methods of approximate solution of differential and integral equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 208-229 (with Peljuh, G. P.).Nonwandering points of dynamical systems (Russian),

*Dynamical systems and questions on the stability of the solutions of differential equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 165-174 (with Dobrynsky, V. A.).The stability of motion with respect to part of the variables (Russian),

*Dynamical systems and questions on the stability of the solutions of differential equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 122-127 (with Khusainov, D. Ya.).Reconstructibility of expanding endomorphisms from the system of omega-limit sets (Russian),

*Dynamical systems and questions on the stability of the solutions of differential equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 28-34 (with Bondarchuk, V. S.).The partially ordered system of omega-limit sets of expanding endomorphisms (Russian),

*Dynamical systems and questions on the stability of the solutions of differential equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 128-164 (with Bondarchuk, V. S.).Orbit stability of trajectories (Russian),

*Differentsialnye Uravneniya 9*, 1973, no.**3**, 558-559 (with Dobrynsky,V.A.).Characterization of the cosine (Russian),

*Aequationes Mathematical 9*, 1973, no.**3**, 121-128.Genericity of the dynamical systems almost all of whose trajectories are stable under constantly acting perturbations (Russian),

*Dokl. Akad. Nauk SSSR 211*, 1973, no.**2**, 273-276 (with Dobrynsky, V. A.).Representation of the solutions of linear differential-difference equations of neutral type (Russian),

*Differentsialnye Uravneniya 9*, 1973, no.**9**, 1627-1645 (with Polishchuk, V. M.).The solutions of an overdetermined system of functional equations (Russian),

*The method of integral manifolds in nonlinear differential equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, 220-232 (with Romanenko, E. Yu.).Stability in the large of trajectories and dynamical systems (Russian),

*Ninth mathematical summer school (Katsiveli, 1971)*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1972, 349-360.Set of orbit-stable trajectories of a dynamical system (Russian),

*Asymptotic and qualitative methods in the theory of nonlinear oscillations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1971, 204-207.General solution of linear differential-difference equations of neutral type (Russian),

*Differential-difference equations*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1971, 125-139 (with Polishchuk, V. M.).About isomorphism problem of dynamical systems (Russian),

*Proc. Intern. Conf. on Nonlinear Oscillations (Kiev, 1969)*, vol.**2**: Qualitative methods in the theory of nonlinear oscillations, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1970, 541-545.Orbital stability (Russian),

*Proc. Intern. Conf. on Nonlinear Oscillations (Kiev, 1969), vol.*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1970, 209-215 (with Kasperov, V. N.).**2**: Qualitative methods in the theory of nonlinear oscillationsSmooth solutions of functional and differential-difference equations (Russian),

*Proc. Intern. Conf. on Nonlinear Oscillations (Kiev, 1969), vol.*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1970, 598-602.**1**: Analitic methods in the theory of nonlinear oscillationsBehavior of a Mapping in the Neighborhood of a Atrracting Set,

*Amer. Math. Soc. Transl. 97*, 1970, no.**2**, 227-258.A Classification of Fixed Points,

*Amer. Math. Soc. Transl. 97*, 1970, no.**2**, 159-179.A characterization of elementary and special functions by means of functional relations (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR*, Ser. A, 1970, no.**11**, 994-998 (with Peljuh, G. P.).Problem of the uniqueness of the solutions of differential equations with deviating argument (Russian),

*Mathematical Physics*, no.**8**, Naukova Dumka, Kiev, 1970, 167-172.Existence and uniqueness of the solutions of a certain class of functional equations (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR*, Ser. A, 1970, no.**9**, 790-793 (with Peljuh, G. P.).Realizable dynamical systems on two-dimensional manifolds (Russian),

*Trudy Sem. Mat. Fiz. 3*, Kiev, 1969, 330-336 (with Khusainov, D. Ya.).Rough dynamical systems (Ukrainian),

*IV conf. of young mathematicians of Ukraine (Kiev, 1968)*, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1968, 146-150.Uniqueness conditions for functional equations (Russian),

*Trudy Sem. Mat. Fiz. Nelinein. Koleban. 1*, Naukova Dumka, Kiev, 1968, no.**2**, 262-268.The set of attraction of periodic points (Russian),

*Trudy Sem. Mat. Fiz. Nelinein. Koleban. 1*, Naukova Dumka, Kiev, 1968, no.**2**, 126-129 (with Kasperov, V. N.).The center of a structurally stable dynamical system (Russian),

*Ukrain. Mat. Zh. 20*, 1968, no.**5**, 717-719.Attracting sets containing no cycles (Russian),

*Ukrain. Mat. Zh. 20*, 1968, no.**1**, 136-142.On the periodic solutions of a class of finite difference equations,

*Proceed. IV conf. on nonlinear oscillations (Prague, Sept. 5-9, 1967)*, Academia, Prague, 1968, p. 249.On a theorem of G. D. Birkhoff (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR*, Ser. A, 1967, no.**5**, 429-432.Endomorphism properties on omega-limit sets (Russian),

*Intern. Math. Congress (Moscow,1966)*, Short reports.Continuous mapping on the set of limit points of an iteration sequence (Russian),

*Ukrain. Mat. Zh. 18*, 1966, no.**5**, 127-130.Partially ordered system of attracting sets (Russian),

*Dokl. Akad. Nauk SSSR 170*, 1966, no.**5**, 1276-1278; (English)*Soviet Math. Dokl. 7*, 1966, 1384-1386.Behavior of a map in the neighborhood of an attracting set (Russian),

*Ukrain. Mat. Zh. 18*, 1966, no.**2**, 60-83.On convergence set for one-dimensional iterations (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR 7*, 1966, 866-870.A classification of fixed points (Russian),

*Ukrain. Mat. Zh. 17*, 1965, no.**5**, 80-95.On attracting and attracted sets (Russian),

*Dokl. Akad. Nauk SSSR 160*, 1965, no.**5**, 1036-1038; (English)*Soviet Math. Dokl. 6*, 1965, 268-270.Continuous mapping on a set of omega-limit points (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR 11*, 1965, 1407-1410.On properties of the set of limit points of an iterative sequence of a continuous function (Russian),

*Volzh. Mat. Sb. 3*, 1965, 343-348 (with Kenzhegulov, H. K.).On cycles and the structure of a continuous mapping (Russian),

*Ukrain. Mat. Zh. 17*, 1965, no.**3**, 104-111.Fixed points and the center of a continuous mapping of the line into itself (Ukrainian),

*Dopovidi Akad. Nauk Ukrain. RSR 7*, 1964, 865-868.Coexistence of cycles of a continuous mapping of the line into itself (Russian),

*Ukrain. Mat. Zh. 16*, 1964, no.**1**, 61-71.The reducibility of a continuous function of a real variable and the structure of the fix points of the corresponding iteration process (Russian),

*Dokl. Akad. Nauk SSSR 139*, 1961 no.**5**, 1067-1070; (English)*Soviet Math. Dokl. 2*, 1961.Solutions of a class of functional equations (Russian),

*Ukrain. Mat. Zh. 13*, 1961, no.**3**, 86-94.Rapidly converging iterative processes (Russian),

*Ukrain. Mat. Zh. 13*, 1961, no.**2**, 210-215.Necessary and sufficient conditions for convergence of one-dimensional iterative p,rocesses (Russian),

*Ukrain. Mat. Zh. 12*, 1960, no.**4**, 484-489.