References

najo

Nanosystems: Physics, Chemistry, Mathematics

Наносистемы: физика, химия, математика

2220-80542305-7971

Университет ИТМО

10.17586/2220-8054-2022-13-1-36-44

najo-213

Research Article

Статьи

On a nonlinear impulsive system of integro-differential equations with degenerate kernel and maxima

Yuldashev

T. K.

tursun.k.yuldashev@gmail.com

Fayziev

A. K.

fayziyev.a@inbox.ru

National University of UzbekistanRussian Federation

Tashkent State Technical UniversityRussian Federation

2022

06062025

1313644

2025

Yuldashev T.K., Fayziev A.K.

This work is licensed under a Creative Commons Attribution 4.0 License.

https://nanojournal.ifmo.ru/jour/article/view/213

A nonlocal boundary value problem for a system of ordinary integro-differential equations with impulsive effects, degenerate kernel and maxima is investigated. The boundary value problem is given by the integral condition. The method of successive approximations in combination with the method of compressing mapping is used. The existence and uniqueness of the solution of the boundary value problem are proved. The continuous dependence of the solution on the right-hand side of the boundary value condition is shown.

impulsive integro-differential equationsnonlocal conditionsuccessive approximationsexistence and uniquenesscontinuous dependence of solution

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The authors declare that there are no conflicts of interest present.