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

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

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...

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Bibliographic Details
Main Authors: John Graef, Shapour Heidarkhani, Lingju Kong, Shahin Moradi
Format: Article
Language:English
Published: University of Szeged 2024-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
three solutions
quasilinear periodic
boundary value problem
impulsive effects
variational methods
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10829
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Summary: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.
ISSN:1417-3875

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