Variational Approach to Fourth-Order Impulsive Differential Equations with Two Control Parameters

被引：0
作者：
Ghasem A. Afrouzi
Armin Hadjian
Vicenţiu D. Rădulescu
机构：
[1] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences
[2] Institute of Mathematics “Simion Stoilow”,Department of Mathematics
[3] of the Romanian Academy,undefined
[4] University of Craiova,undefined
来源：
Results in Mathematics | 2014年 / 65卷
关键词：
34B15; 34B37; 58E30; Impulsive differential equations; multiple solutions; variational methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we are concerned with the multiplicity of solutions for a fourth-order impulsive differential equation with Dirichlet boundary conditions and two control parameters. Using variational methods and a three critical points theorem, we give some new criteria to guarantee that the impulsive problem has at least three classical solutions. We also provide an example in order to illustrate the main abstract results of this paper.
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页码：371 / 384
页数：13
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