Infinitely many solutions for nonlinear periodic boundary value problem with impulses

被引：4
作者：
Wang, Weibing [1 ]
机构：
[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2017年 / 111卷 / 04期
关键词：
Impulsive differential equation; Weak solution; Symmetric mountain pass theorem; Infinitely many solutions; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; DIRICHLET PROBLEMS; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE;
D O I：
10.1007/s13398-016-0348-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of solutions for a periodic boundary value problem subject to perturbations of impulsive terms. By using the symmetric mountain pass theorem, we obtain two existence results for infinitely many solutions of the problem.
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页码：1093 / 1103
页数：11
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