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

Carpathian Mathematical Publications, 2022

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DOI 10.15330/cmp.14.2.304-326
Data confidence 70 medium
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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.