Multiplicity results for a class of boundary value problems with impulsive effects

被引：4

作者：

Shi, Hongxia ^{[1
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 5-6期

关键词：

Variational method; boundary value problems; impulsive effects; nontrivial solutions; Morse theory; 34A37; 34B37; DIFFERENTIAL-EQUATIONS; VARIATIONAL APPROACH; PERIODIC-SOLUTIONS; DIRICHLET PROBLEMS; RESONANCE; EXISTENCE; 1ST-ORDER; MODEL;

D O I：

10.1002/mana.201400341

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a class of boundary value problems with impulsive effects. Under some natural assumptions, by using Morse theory in combination with the minimax arguments, we establish some new results on the existence of multiple nontrivial solutions for the problems. Recent results from the literature are improved and extended.

引用

页码：718 / 726

页数：9

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