EXISTENCE OF THREE-SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY VALUE CONDITIONS

被引：0

作者：

Liu BinDept.ofMath.

机构：

来源：

Applied Mathematics:A Journal of Chinese Universities | 2002年 / 02期

关键词：

coincidence degree; three- solutions theorem; nonlinear boundary value conditions;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The paper deals with the existence of three- solutions for the second- order differential equations with nonlinear boundary value conditions x″=f(t,x,x′) , t∈ [a,b], g1(x(a) ,x′(a) ) =0 , g2 (x(b) ,x′(b) ) =0 , where f :[a,b]× R1× R1→ R1,gi:R1× R1→ R1(i=1 ,2 ) are continuous functions.The methods employed are the coincidence degree theory.As an application,the sufficient conditions under which there are arbitrary odd solutions for the BVP are obtained

引用

页码：135 / 144

页数：10

共 50 条

[1] Existence of three-solutions for second-order differential equations with nonlinear boundary value conditions
Bin L.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (2) : 135 - 144
[2] Existence of solutions for second-order nonlinear impulsive differential equations with periodic boundary value conditions
Bai, Chuanzhi
Yang, Dandan
[J]. BOUNDARY VALUE PROBLEMS, 2007, 2007 (1)
[3] Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions
Chuanzhi Bai
Dandan Yang
[J]. Boundary Value Problems, 2007
[4] On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations
Naito, Y
Tanaka, S
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (06) : 919 - 935
[5] Existence of Solutions for Second-order Impulsive Differential Equations with Integral Boundary Conditions
Jia, Mei
Liu, Xiping
[J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 606 - 610
[6] Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance
Weihua Jiang
Bingzhi Sun
[J]. Advances in Difference Equations, 2017
[7] Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations
Song, Mingliang
Mei, Shuyuan
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
[8] EXISTENCE OF POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS ON THE HALF LINE
Zhang, Xingqiu
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[9] Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance
Jiang, Weihua
Sun, Bingzhi
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[10] Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations
Antonuks, Aleksejs
Smirnov, Sergey
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2024, (41) : 1 - 17

← 1 2 3 4 5 →