Multiple solutions for a class of perturbed second-order differential equations with impulses

被引：0

作者：

Heidarkhani, Shapour ^{[1
]}

Ferrara, Massimiliano ^{[2
]}

Salari, Amjad ^{[1
]}

Caristi, Giuseppe ^{[3
]}

机构：

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

[2] Univ Mediterranea Reggio Calabria, Dept Law & Econ, Via dei Bianchi 2, Reggio Di Calabria 89131, Italy

[3] Univ Messina, Dept Econ, Via dei Verdi 75, Messina, Italy

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

multiple solutions; perturbed impulsive differential equation; critical point theory; variational methods; BOUNDARY-VALUE-PROBLEMS; VARIATIONAL APPROACH; EXISTENCE; SYSTEMS;

D O I：

10.1186/s13661-016-0581-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is an attempt to investigate the existence of weak solutions for perturbed impulsive problems containing a Lipschitz nonlinear term. The study bases itself on the most recent variational approaches to the smooth functionals which are defined on reflexive Banach spaces. The findings of the study, finally, revealed that, under appropriate conditions, such problems possess at least three weak solutions. According to the results, these solutions are generated by impulses when the Lipschitz nonlinear term is zero.

引用

页数：16

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