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

Stanzhytskyi, Oleksandr; Mogylova, Viktoria; Lavrovа, Olga

doi:10.1007/978-3-030-50302-4_18

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2022

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“…For example, in [20] it was applied to the study of the existence of bounded on the entire axis solutions of non-autonomous systems of differential equations. The method was employed to the study of optimal control problems [7,8,10,23,25] and invariant sets of stochastic systems [21,22].…”

Section: Introductionmentioning

confidence: 99%

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

Stanzhytskyi

Uteshova

Mukash

et al. 2022

Carpathian Math. Publ.

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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.

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