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

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 soluti...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 21; no. 1; pp. 1641 - 1649
Main Authors Xia, Minggang, Zhang, Xingyong, Xie, Junping
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 01.02.2023
De Gruyter Poland
Subjects
34A37
49J35
existence
Impulses
instantaneous and non-instantaneous impulse
mountain pass theorem
Mountains
multiplicity
symmetric mountain pass lemma
variational structure
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0553