Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses-Reference-Cited by-同舟云学术

Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Xia Minggang¹,Zhang Xingyong¹,Xie Junping²

Affiliation:

1. Faculty of Science, Kunming University of Science and Technology , Kunming , Yunnan, 650500 , P.R. China

2. Faculty of Transportation Engineering, Kunming University of Science and Technology , Kunming , Yunnan, 650500 , P.R. China

Abstract

Abstract The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses. Then by using the mountain pass lemma and symmetric mountain pass lemma, the existence and multiplicity results of non-trivial weak solutions are obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0553/pdf

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