Periodic solutions for a class of conservative Liénard-type equations

In this paper, we study solvability of a class of second-order differential equations in a conservative Liénard form subject to periodic boundary conditions. Results on existence of non-trivial T -periodic solutions or positive T -periodic solutions are obtained respectively. Applications of the the...

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Bibliographic Details
Published in4Open Vol. 2; p. 5
Main Authors Korfanty, Emily R., Liu, Ankai, Feng, Wenying
Format Journal Article
LanguageEnglish
Published Les Ulis Cedex EDP Sciences 2019
Subjects
Boundary conditions
Boundary Value Problem
Boundary value problems
Coincidence degree theory
Fixed point theorem
Nonlinear operator
Periodic solution
Semilinear operator equation
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Summary:In this paper, we study solvability of a class of second-order differential equations in a conservative Liénard form subject to periodic boundary conditions. Results on existence of non-trivial T -periodic solutions or positive T -periodic solutions are obtained respectively. Applications of the theorems are shown by examples. The results are proved by applying the coincidence degree theory for semilinear operator equations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2557-0250
2557-0250
DOI:10.1051/fopen/2019003