平均法在非固定脉冲矩微分方程边值问题中的应用

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-07-26 DOI:10.15330/cmp.14.2.304-326

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

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引用次数: 2

摘要

应用平均法研究了具有非固定脉冲矩的微分方程组边值问题解的存在性。证明了如果平均边值问题有解，则原问题也是可解的。这里脉冲系统的平均问题是一个更简单的常微分方程问题。

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

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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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks