Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse
Stanzhytskyi O.M. Uteshova R.E. Mukash M. Mogylova V.V.
30 December 2022Precarpathian National University
Carpathian Mathematical Publications
2022#14Issue 2304 - 326 pp.
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.
averaging method , boundary value problem , fixed point , impulse action , small parameter
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National Technical University of Ukraine ”Igor Sikorsky Kyiv Polytechnic Institute”, 37 Peremohy ave., Kyiv, 03056, Ukraine
Taras Shevchenko National University of Kyiv
International Information Technology University
K. Zhubanov Aktobe Regional University
National Technical University of Ukraine ”Igor Sikorsky Kyiv Polytechnic Institute”
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