Volume 26, No. 1 Volume 26, No. 2 Volume 26, No. 3 Volume 26, No. 4

Of blessed memory of a prominent mathematician, Anatolii Mykhailovych Samoilenko (02.01.1938 – 04.12.2020): A. A. Boichuk, W. L. Kułyk, I. O. Lukovsky, V. L. Makarov, I. O. Parasyuk, G. P. Pelyukh, M. O. Perestyuk, R. I. Petryshyn, A. K. Prykarpatski, A. N. Ronto, M. Rontó, V. H. Samoilenko, O. M. Stanzhitskyi, Y. V. Teplinsky, O. M. Tymokha, V. I. Tkachenko, S. I. Trofimchuk, and S. M. Chuiko; Pages 3-5; Link PDF
Iterative schemes for periodic boundary-value problems with switchings: P. Benner, S. M. Chuiko, and A. L. Zuyev; Pages 6-21; Link
Note on quaternion linear dynamical systems: N. Z. Dilna, M. Fečkan, and J. Wang; Pages 22-32; Link
Schemes of approxіmatіon of boundary-value problems for іntegro-dіfferentіal equatіons wіth delay: A. B. Dorosh, I. I. Tuzyk, and I. M. Cherevko; Pages 33-41; Link
Generalized inversion of operator matrices (generalization of the Frobenius theorem): V. F. Zhuravlev and M. P. Fomin; Pages 42-54; Link
Quaternion-valued dynamic equations and Henstock-Kurzweil delta-integrals on time scales: A survey: Guangzhou Qin, Chao Wang, and R. P. Agarwal; Pages 55-76; Link
On some constructions of regular linear extensions of dynamical systems on a torus: W. L. Kułyk, G. M. Kulyk, and N. V. Stepanenko; Pages 77-94; Link
Optimal control for functional-differential equations of parabolic type in a Banach space: A. O. Latysh and O. D. Kichmarenko; Pages 95-112; Link
The two-dimensional Boole-type transform and its ergodicity: A. K. Prykarpatski and A. A. Balinsky; Pages 113-131; Link
Short outline on difference equations with continuous argument: E. Y. Romanenko; Pages 132-145; Link
Conditions for the existence of solutions of difference equations in the metric space of bounded sequences: V. Y. Slyusarchuk; Pages 146-154; Link
Asymptotic behavior of solutions of stochastic functional-differential equations: O. M. Stanzhitskyi, H. O. Petryna, and N. L. Denysenko; Pages 155-164; Link
General solution of the dynamic spatial problem in the determination of vibrations in an elastic layer: O. I. Boichuk; Pages 167-178; Link
Rational factorization of Hamiltonian flows on the dual space to the Lie algebra of fractional integro-differential operators and Benney-type integrable hydrodynamic systems: O. E. Hentosh and A. K. Prykarpatski; Pages 179-198; Link
Bounded solutions of a difference equation with piecewise constant operator coefficients: M. F. Gorodnii; Pages 199-209; Link
Boundary-value problems with control for the Fredholm integro-differential equations with a degenerate kernel in Banach spaces: V. F. Zhuravlev, N. V. Honhalo, and I. P. Slusarenko; Pages 210-227; Link
Some properties of solutions of a linear set-valued differential equation in the space conv(R²): T. A. Komleva, A. V. Plotnikov, and N. V. Skripnik; Pages 228-246; Link
Representation of real numbers by Perron series, their geometry, and some applications: M. P. Moroz; Pages 247-260; Link
Boundary-value problem with pulse action. Critical case of the second order: Z. P. Ordynska and R. F. Ovchar; Pages 261-273; Link
Connection between bounded solutions of differential equations and dynamic equations on time scales: V. B. Tsan, Y. M. Perestyuk, and V. V. Mogylova; Pages 274-293; Link
On the solution of the nonlinear periodic boundary-value problem with switchings in the case of parametric resonance by the Newton – Kantorovich method: S. M. Chuiko, O. S. Chuiko, and D. D. Diachenko; Pages 294-308; Link
On some particular solutions of factorizing chains: D. V. Belskii; Pages 311-321; Link
Time-nonlocal problem for evolutionary equations with pseudodifferential operators in spaces of type S: V. V. Gorodetsky, O. V. Martynyuk, and R. S. Kolisnyk; Pages 322-341; Link
Bounded solutions of a second order differential equation with piecewise constant operator coefficients: M. F. Gorodnii and O. A. Pecherytsia; Pages 342-349; Link
Parabolic boundary-value problems of mathematical physics in a piecewise homogeneous wedge-shaped hollow cylinder: A. P. Hromyk, I. M. Konet, and T. M. Pylypiuk; Pages 350-362; Link
Existence of compromise states in the struggle of alternative opponents under an external support: T. V. Karataieva and V. D. Koshmanenko; Pages 363-385; Link
The optimal control problem for systems of integro-differential equations: V. V. Mogylova, R. S. Lakhva, and V. I. Kravets; Pages 386-407; Link
Continuous functions with locally complicated and fractal properties related to infinite-symbol B-representation of numbers: M. V. Pratsiovytyi, O. I. Bondarenko, I. M. Lysenko, and S. P. Ratushniak; Pages 408-425; Link
Two-point boundary value problem for linear stochastic differential equations: R. I. Repnin; Pages 426-433; Link
Conditions for the existence of solutions of discrete equations with a precompact set of values: V. Y. Slyusarchuk; Pages 434-440; Link
Strength and stiffness characteristics of vibration protection systems with quasi-zero stiffness: О. H. Arkhypov, O. P. Marynoshenko, T. I. Stefurak, and V. I. Bakun; Pages 443-452; Link
Stabilization of periodic movements of a mechanical system "reservoir – liquid with free surface" based on the principles of modal control: O. V. Konstantinov and V. V. Novitskii; Pages 453-466; Link
Dynamics of a rigid body with internal degrees of freedom caused by a liquid with a free surface: O. S. Limarchenko; Pages 467-483; Link
Synthesis of static controllers for controlled objects with exogenous disturbances: A. Mazko; Pages 484-494; Link
Asymptotic behavior of the Fourier – Stieltjes transform of the distribution of a random power series: O. P. Makarchuk; Pages 495-504; Link
Conditions of the input-to-state stability for a boundary-value problem with constant operators: Y. V. Panasenko and O. O. Pokutnyi; Pages 505-510; Link
The angular momentum and boundedness of motion in the three-body problem: S. P. Sosnytskyi; Pages 511-527; Link
Free vibrations of thin-walled spherical shells: Y. V. Trotsenko; Pages 528-542; Link
Autonomous boundary-value problem unsolvable with respect to the derivative: S. M. Chuiko, E. V. Chuiko, and D. D. Diachenko; Pages 543-554; Link
Prominent scientist in the field of solid mechanics and ukrainian gyroscopy. On the 100th anniversary of the birth of an academician of the National Academy of Sciences of Ukraine Volodymyr Mykolayovych Koshlyakov (1922 – 2009): O. M. Tymokha, I. O. Lukovsky, V. L. Makarov, and V. V. Novitskii; Pages 555-557; Link PDF

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