Existence of one non-trivial anti-periodic solution for second-order impulsive differential inclusions

被引：8
作者：
Hadjian, Armin [1 ]
Heidarkhani, Shapour [2 ]
机构：
[1] Univ Bojnord, Fac Basic Sci, Dept Math, POB 1339, Bojnord 94531, Iran
[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 14期
关键词：
differential inclusions; impulsive; anti-periodic solution; non-smooth critical point theory; VARIATIONAL PRINCIPLE;
D O I：
10.1002/mma.4365
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of one non-trivial solution for a second-order impulsive differential inclusion is established. More precisely, a recent critical point result is exploited, in order to prove the existence of a determined open interval of positive eigenvalues for which the considered problem admits at least one non-trivial anti-periodic solution. Copyright (C) 2017 John Wiley & Sons, Ltd.
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页码：5009 / 5017
页数：9
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