MULTIPLE POSITIVE SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEM VIA VARIATIONAL METHODS

被引：1

作者：

Tian, Yu ^{[1
]}

Ge, Weigao

机构：

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

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2008年 / 39卷 / 02期

关键词：

Periodic boundary value problem; critical point theory; variational methods;

D O I：

10.5556/j.tkjm.39.2008.21

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the positive solutions of periodic boundary value problem. By using critical point theory the existence of multiple positive solutions is obtained.

引用

页码：111 / 119

页数：9

共 50 条

[1] Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method
Sougata Dhar
Lingju Kong
Differential Equations and Dynamical Systems, 2022, 30 : 861 - 872
[2] Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method
Dhar, Sougata
Kong, Lingju
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (04) : 861 - 872
[3] Multiple solutions of Sturm-Liouville boundary value problem via lower and upper solutions and variational methods
Tian, Yu
Ge, Weigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6733 - 6746
[4] MULTIPLE POSITIVE SOLUTIONS FOR A SECOND ORDER STURM-LIOUVILLE BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN VIA VARIATIONAL METHODS
Tian, Yu
Ge, Weigao
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (01) : 325 - 342
[5] Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach
Xie, Zuoshi
Jin, Yuanfeng
Hou, Chengmin
ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] Multiple solutions of impulsive Sturm-Liouville boundary value problem via lower and upper solutions and variational methods
Tian, Yu
Ge, Weigao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 475 - 489
[7] MULTIPLE SOLUTIONS FOR A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEMS VIA VARIATIONAL METHODS
Nyamoradi, Nemat
Zhou, Yong
FIXED POINT THEORY, 2016, 17 (01): : 111 - 122
[8] EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR BOUNDARY-VALUE PROBLEM USING VARIATIONAL METHODS
Liu, Jian
Zhao, Zengqin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[9] MULTIPLE SOLUTIONS FOR A QUASILINEAR PERIODIC BOUNDARY VALUE PROBLEM
Heidarkhani, Shapour
Moradi, Shahin
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2024, 2024
[10] MULTIPLE POSITIVE SOLUTIONS OF SINGULAR THIRD-ORDER PERIODIC BOUNDARY VALUE PROBLEM
孙经先
刘衍胜
ActaMathematicaScientia, 2005, (01) : 81 - 88

← 1 2 3 4 5 →