Contents
- Volume 3, No. 1 Volume 3, No. 2 Volume 3, No. 3 Volume 3, No. 4
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- Investigation of stability of invariant sets for systems of difference equations by Lyapunov's functions
- L. A. Ali
- Pages 3-6
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- A Wiener process on a plane with membranes thet are situated on two straight lines as oblique product of two random processes: a module and a phase
- O. V. Aryasova and M. I. Portenko
- Pages 7-12
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- Weakly-nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument
- A. A. Boichuk and V. Covachev
- Pages 13-30
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- A classification of linear operators with minimal polinomial , , acting in a filtered vector space
- V. M. Bondarenko
- Pages 31-35
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- Diagonal perturbation of regular extensions on dynamical systems on a torus
- A. L. Grechko
- Pages 36-43
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- On the spectrum of a boundary problem for the biharmonic equation in the half-space
- Y. S. Djala and Y. V. Mykytyuk
- Pages 44-48
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- On the existence of solutions of certain boundary value problems for ordinary differential equations with nonlinearly involved leading derivative
- Y. V. Zhernovy
- Pages 49-52
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- Isomorphic Hamiltonian system which are not isomorphic as quantum systems
- I. V. Mykytyuk
- Pages 53-56
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- A modified version of the algorithm for computing Vassiliev's invariants of knots
- L. P. Plakhta
- Pages 57-62
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- Averaging of the integral-differentional inclusion with the multivalued solutions
- A. V. Plotnikov and A. V. Tumbrukaki
- Pages 63-73
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- On the inf-type extremality solution to a Hamilton-Jacobi equation on the sphere
- N. K. Prykarpatska and M. M. Prytula
- Pages 74-77
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- On invariant measure structure of a class of ergodic discrete dynamical systems
- A. K. Prykarpatski
- Pages 78-83
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- The Lie-algebraic structure of Lax type integrable nonlocal differential-difference equations
- A. K. Prykarpatski, O. E. Hentosh, and V. H. Samoilenko
- Pages 84-94
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- Finite-dimensional reductions of a generalized Burgers dynamical system and their integrability
- Y. A. Prykarpatsky, M. M. Prytula, and O. E. Hentosh
- Pages 95-102
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- Algebraic-analytic aspects of integrability via the Liouville-Arnold theorem of Hamiltonian systems on cotangent spaces: a sympletic theory approach
- A. M. Samoilenko, A. K. Prykarpatski, and V. H. Samoilenko
- Pages 103-123
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- Parametric method of inverse scattering transform for general Korteweg - de Vries equation in halfspace
- I. P. Syroid
- Pages 124-128
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- The main achievements of academician N. N. Bogolyubov in the area of nonlinear mechanics (Kiev period of N. N. Bobolyubov's work)
- Y. A. Mitropolsky
- Pages 147-153
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- On the radially symmetric solution of the Dirichlet problem for a class of nonlinear pdes
- G. Bognár
- Pages 154-159
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- The problem of reducing functional integral inequalities for functions of several variables to one-dimensional inequalities
- S. D. Borisenko, G. Matarazzo, and M. M. Piltay
- Pages 160-165
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- N. N. Bogolyubov and cosmic dynamics
- E. A. Grebenikov
- Pages 166-177
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- Investigation of periodic solutions of Cauchy problem for integro-differential equations with linear deviation of arguments
- M. I. Gromyak
- Pages 178-187
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- A boundary-value problem with impulse effects for singularly perturbed systems in the noncritical case
- L. I. Karandzhulov
- Pages 188-205
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- Symplectic invariant reductions of completely integrable dynamical systems on functional spaces, and their invariant submanifolds
- M. I. Kopych
- Pages 206-217
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- A study of systems of differential equations with parameters in impulse conditions and bounds
- A. Y. Luchka and Y. O. Zakhariichenko
- Pages 218-225
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- The algebraic-analytic structure of integrability by quadratures of Abel-Riccati equations
- J. Napora
- Pages 226-245
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- A geometrical generalization of the Poincaré method for an investigation of Lagrangian manifolds of slowly perturbed Hamiltonian systems in a neihborhood of a hyperbolic singular point
- Y. A. Prykarpatsky and A. M. Samoilenko
- Pages 246-255
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- Periodic solutions of Liénard equation with impulsive effects
- V. H. Samoilenko and V. V. Sobchuk
- Pages 256-265
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- A study of stability of invariant sets for stochastic systems in terms of local coordinates
- O. M. Stanzhitskyi
- Pages 266-270
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- On the nonexistence of invariant submanifolds for differential systems with impulses
- M. Fečkan
- Pages 271-277
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- Application of asymptotic methods for an investigation for the particle dynamics in accelerators
- O. E. Shyshanin
- Pages 278-284
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- On asymptotic expansion of solutions of systems of differential equations in the case where the characteristic equation has multiple roots
- M. I. Shkil
- Pages 285-289
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- Weakly nonlinear boundary-value problems with an "interface conditions" type impulsive effect
- A. A. Boichuk, S. M. Chuiko, and E. V. Chuiko
- Pages 291-296
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- Dynamics of piecewise linear-fractional maps
- A. V. Bondarenko
- Pages 297-307
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- About one approach to determining periodic solutions of nonlinear second order differential equation
- Y. E. Bokhonov
- Pages 308-314
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- Green's functions for weakly regular systems of linear differential equations
- O. A. Burylko
- Pages 315-322
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- On global stability of a nonautonomous quasilinear system in a certian critical case
- I. E. Vitrychenko
- Pages 323-333
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- Asymptotic integration of certain classes of systems of linear diffential equations
- V. M. Evtukhov
- Pages 334-357
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- Two theorems on existence of solutions of a quasilinear singular differential-operator equation
- P. S. Kabalyants and A. G. Rutkas
- Pages 358-364
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- Projection-iteration methods for integral equations with a weak nonlinearity and additional conditions
- O. I. Kovtun
- Pages 365-374
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- Stefan type conjugation problem
- V. S. Kuibida, A. K. Prykarpatski, and M. M. Prytula
- Pages 375-382
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- Lyapunov functions with alternating signs and the Green - Samoilenko function for linear extensions of dynamical systems
- N. V. Kulyk
- Pages 383-389
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- On existence of solutions of the Cauchy problem for a certain class of linear partial differential-functional equations
- A. G. Pelyukh
- Pages 390-392
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- Quasidifferential equations with delay
- V. O. Plotnikov and O. D. Kichmarenko
- Pages 393-399
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- Reduction of fully nonlinear parabolic problems to operator equations
- I. B. Romanenko
- Pages 400-413
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- On periodic solutions of difference equations in infinite-dimensional spaces
- Y. V. Teplinsky and I. V. Semenyshyna
- Pages 414-430
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- The 10th scientific session of the mathematical commission of the T. G. Shevchenko scientific society
- A. M. Samoilenko, A. K. Prykarpatski, and M. M. Prytula
- Page 431
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- On dichotomy of linear system of difference equations
- A. M. Ateiwi
- Pages 435-441
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- Optimal estimates in problems of practical stability with partially fixed initial conditions and their applications in modeling and optimization of charged particle dynamics
- A. P. Verchenko
- Pages 442-448
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- Critical case of global stability of a nonautonomous essentially nonlinear system
- I. E. Vitrychenko
- Pages 449-457
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- An application of the method of perturbations for determining hydrodynamic characteristics of a fluid in a moving cavity that has the form of a parallelepiped with baffle plates
- D. A. Galitsyn
- Pages 458-468
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- On completing the pursuit for a nonautonomous game for two persons
- T. A. Komleva and A. V. Plotnikov
- Pages 469-473
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- About a new approach in studying periodic boundary-value problems for differential equations
- A. Y. Luchka
- Pages 474-488
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- Asymptotic properties of solutions of systems of linear differential-functional equations
- O. P. Oliinychenko
- Pages 489-496
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- About the fundamental matrix of a linear system with quickly oscillating corfficients
- R. I. Petryshyn and T. M. Sopronyuk
- Pages 497-504
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- Averaging of equations of a controlled motion with a multivalued control criterion
- A. V. Plotnikov
- Pages 505-510
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- Conditions of consistency of a problem with constraints for singular integral equations
- O. B. Polishchuk
- Pages 511-514
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- A mode decomposition of electromagnetic field in a multiply connected region
- E. V. Popova
- Pages 515-525
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- Periodic solutions for autonomous differential equations with delay
- A. M. Samoilenko and L. V. Stelmashchuk
- Pages 526-534
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- Introduction of coordinates in a neighbourhood of a toroidal manifold
- V. V. Slyusarchuk
- Pages 535-553
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- On two-dimensional Lotka-Volterra system with impulsive effect
- O. O. Struk and V. I. Tkachenko
- Pages 554-561
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- On integral manifolds of singularly perturbed differential-functional equations
- I. M. Cherevko
- Pages 562-570
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- Linear boundary-value problems for impulsive second order systems
- T. V. Shovkoplias
- Pages 571-577
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