Multiple solutions for impulsive problems with non-autonomous perturbations

被引：54
|
作者：
Liu, Jian [1 ]
Zhao, Zengqin [2 ]
机构：
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 64卷
关键词：
Non-autonomous perturbation; Variational method; Multiple solutions; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; VARIATIONAL APPROACH;
D O I：
10.1016/j.aml.2016.08.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the existence of multiple solutions for nonlinear impulsive problems with small non-autonomous perturbations. We show the existence of at least three distinct classical solutions by using variational methods and a three critical points theorem. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：143 / 149
页数：7
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