Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects-Reference-Cited by-同舟云学术

Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects

Published:2024 Issue:12 Volume: Page:1-18
ISSN:1417-3875
Container-title:Electronic Journal of Qualitative Theory of Differential Equations
language:en
Short-container-title:Electron. J. Qual. Theory Differ. Equ.

Author:

Graef John¹^ORCID,Heidarkhani Shapour²^ORCID,Kong Lingju¹^ORCID,Moradi Shahin²^ORCID

Affiliation:

1. University of Tennessee at Chattanooga

2. Razi University

Abstract

The authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence of at least three solutions to the problem. The applicability of the results is illustrated with an example.

Publisher

University of Szeged

Link

http://www.math.u-szeged.hu/ejqtde/p10829.pdf

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