APPLICATIONS OF VARIATIONAL METHODS TO AN ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF A SECOND-ORDER DIFFERENTIAL SYSTEM

被引：2

作者：

Tian, Yu ^{[1
]}

Zhang, Yajing ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 05期

基金：

美国国家科学基金会;

关键词：

Anti-periodic boundary value problem; variational methods; Mountain pass theorem; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; EXISTENCE; INTERPOLATION;

D O I：

10.1216/RMJ-2017-47-5-1721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence of multiple solutions to a second order anti-periodic boundary value problem {x(t) + Mx(t) + del F(t, x(t)) = 0 almost every t is an element of [0, T], x(0) = -x(T) x(0) = -x(T) by using variational methods and critical point theory. Furthermore, we obtain the existence of periodic solutions for corresponding second-order differential systems.

引用

页码：1721 / 1741

页数：21

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