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Your search keyword '"STANZHYTSKYI, O."' showing total 15 results
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15 results on '"STANZHYTSKYI, O."'

4. Optimal Control for Systems of Differential Equations on the Infinite Interval of Time Scale

Author

Stanzhytskyi, O., Mogylova, V., Lavrova, O., Abarbanel, Henry D. I., Series Editor, Braha, Dan, Series Editor, Érdi, Péter, Series Editor, Friston, Karl J., Series Editor, Haken, Hermann, Series Editor, Jirsa, Viktor, Series Editor, Kacprzyk, Janusz, Series Editor, Kaneko, Kunihiko, Series Editor, Kelso, Scott, Founding Editor, Kirkilionis, Markus, Series Editor, Kurths, Jürgen, Series Editor, Menezes, Ronaldo, Series Editor, Nowak, Andrzej, Series Editor, Qudrat-Ullah, Hassan, Series Editor, Reichl, Linda, Series Editor, Schuster, Peter, Series Editor, Schweitzer, Frank, Series Editor, Sornette, Didier, Series Editor, Thurner, Stefan, Series Editor, Sadovnichiy, Victor A., editor, and Zgurovsky, Michael Z., editor

Published
2021
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8. A problem with impulse actions for nonlinear ODEs.

Author

Assanova, A. T., Mukash, M. A., and Stanzhytskyi, O. M.

Subjects
ORDINARY differential equations, NONLINEAR analysis, MATHEMATICS theorems, MATRICES (Mathematics), GENERALIZATION
Abstract

In the paper, we consider problem with impulse actions for system of nonlinear ordinary differential equations (ODEs) in the interval. For solving this problem we use a modification of parameterization method by Dulat Dzhumabaev. In the modification of the method we introduce the parameters as the values of the unknown function at the middle of the subintervals of the partition of the considered interval. The problem with impulse actions transfers to an equivalent problem system of nonlinear ODEs with parameters. Conditions for an existence of solution to the equivalent problem are obtained. Existence theorem for solutions this problem is established by one generalizes a theorem of Hadamard. We also constructed an algorithm for finding of solution to this problem. Finally, we found conditions for solvability to the problem with impulse actions for system of nonlinear ODEs in terms of special matrix composed by the initial data. This method can be applied to various types of nonlinear problems with impulse actions for ODEs. [ABSTRACT FROM AUTHOR]

Published
2023
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10. Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse.

Author

Stanzhytskyi, O. M., Uteshova, R. E., Mukash, M., and Mogylova, V. V.

Subjects
BOUNDARY value problems, DIFFERENTIAL equations, IMPULSIVE differential equations
Abstract

The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action. It is shown that if an averaged boundary value problem has a solution, then the original problem is solvable as well. Here the averaged problem for the impulsive system is a simpler problem of ordinary differential equations. [ABSTRACT FROM AUTHOR]

Published
2022
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12. NECESSARY AND SUFFICIENT CONDITIONS FOR THE WELL-POSEDNESS OF A BOUNDARY VALUE PROBLEM FOR A LINEAR LOADED HYPERBOLIC EQUATION.

Author

Kabdrakhova, S. S. and Stanzhytskyi, O. N.

Subjects
CARTESIAN doubt, RANDOM vibration, AIRPLANE wings, EQUATIONS, AIRPLANE control systems
Abstract

Copyright of Journal of Mathematics, Mechanics & Computer Science is the property of Al-Farabi Kazakh National University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Published
2021
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