Normally solvable boundary-value problems with degenerate impulsive action

UDC 517.927 We establish solvability conditions  for normally solvable boundary-value problems for a system of ordinary differential equations with degenerate impulsive actions at fixed times in the presence of infinitely many impulsive perturbations. The distinctions are established between the str...

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Bibliographic Details
Date:2026
Main Authors: Benner, P., Chuiko, S., Chuiko, V., Беннер, Петер, Чуйко, Сергій, Чуйко, Віктор, Чуйко, Сергій Михайлович
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9573
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal
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Summary:UDC 517.927 We establish solvability conditions  for normally solvable boundary-value problems for a system of ordinary differential equations with degenerate impulsive actions at fixed times in the presence of infinitely many impulsive perturbations. The distinctions are established between the structure of solutions to a system of ordinary differential equations with nondegenerate impulsive actions at fixed times (in the presence of infinitely many impulsive perturbations) and the solutions to the system with finitely many degenerate impulsive perturbations.
DOI:10.3842/umzh.v78i7-8.9573