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

页码：143 / 149

页数：7

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