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

被引：3

作者：

Graef, John R. ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Kong, Lingju ^{[1
]}

Moradi, Shahin ^{[2
]}

机构：

[1] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 12期

关键词：

three solutions; quasilinear periodic; boundary value problem; impulsive effects; variational methods; EXISTENCE;

D O I：

10.14232/ejqtde.2024.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 18

页数：18

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