Variational approach to non-instantaneous impulsive nonlinear differential equations

被引：17

作者：

Bai, Liang ^{[1
]}

Nieto, Juan J. ^{[2
]}

Wang, Xiaoyun ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Univ Santiago de Compostela, Fac Matemat, Dept Estadist Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Non-instantaneous impulse; mountain pass theorem; bounded solution; BOUNDARY-VALUE PROBLEM; EXISTENCE;

D O I：

10.22436/jnsa.010.05.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of nonlinear differential equations with non-instantaneous impulses are considered. By using variational methods and critical point theory, a criterion is obtained to guarantee that the non-instantaneous impulsive problem has at least two distinct nonzero bounded weak solutions. (C) 2017 All rights reserved.

引用

页码：2440 / 2448

页数：9

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