The existence of solutions to nonlinear second order periodic boundary value problems

被引：2

作者：

Zhang, Yong ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 76卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Periodic solution; Second order differential equation; Upper and lower solutions; ORDER DIFFERENTIAL EQUATIONS; POSITIVE SOLUTIONS;

D O I：

10.1016/j.na.2012.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence of periodic boundary value problems of nonlinear second order ordinary differential equations. Under certain half Lipschitzian type conditions several existence results are obtained. As applications positive periodic solutions of some phi-Laplacian type equations and Duffing type equations are investigated. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：140 / 152

页数：13

共 50 条

[31] Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
Chuanzhi Bai
Dandan Yang
Boundary Value Problems, 2007
[32] EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
洪世煌
胡适耕
AppliedMathematicsandMechanics(EnglishEdition), 2000, (03) : 355 - 362
[33] Existence of solutions for periodic boundary value problems for second-order integro-differential equations
Shihuang H.
Shigeng H.
Applied Mathematics and Mechanics, 2000, 21 (3) : 355 - 362
[34] Existence of solutions for periodic boundary value problems for second-order integro-differential, equations
Hong, SH
Hu, SG
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (03) : 355 - 362
[35] Existence of One-Signed Solutions of Discrete Second-Order Periodic Boundary Value Problems
Ma, Ruyun
Lu, Yanqiong
Chen, Tianlan
ABSTRACT AND APPLIED ANALYSIS, 2012,
[36] On the existence of solutions of boundary value problems for second order differential equations
Kelevedjiev, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (04) : 563 - 573
[37] Existence of solutions for second-order integral boundary value problems
Cui, Yujun
Zou, Yumei
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (06): : 828 - 838
[38] On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems
LI He-chengDepartment of Mathematics
数学季刊, 2004, (01) : 101 - 106
[39] The existence of solutions to second-order singular boundary value problems
Fewster-Young, Nicholas
Tisdell, Christopher C.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (13) : 4798 - 4806
[40] EXISTENCE OF SOLUTIONS FOR A SYSTEM OF 2ND ORDER NONLINEAR PERIODIC BOUNDARY-VALUE PROBLEMS
RAO, VSH
VATSALA, AS
APPLICABLE ANALYSIS, 1983, 17 (01) : 23 - 36

← 1 2 3 4 5 →