Positive solution for three-point boundary value problems with sign changing nonlinearities

被引：15

作者：

Ren, JL ^{[1
]}

Ge, WG

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

three-point boundary value problems; Green's function; operator; cone;

D O I：

10.1016/S0893-9659(04)90088-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing available operators, some new existence theorems of positive solutions are obtained for a class of three-point boundary value problems u" + lambdah(t)f(t, u) = 0, 0less than or equal to t less than or equal to 1, u(0) - betau'(0) = 0, u(1) = alphau(eta), where f is allowed to change sign, 77 G (0, 1). The associated Green's function for the above problem is also given. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：451 / 458

页数：8

共 50 条

[1] Twin positive solutions for three-point (N,P)-boundary value problems with sign changing nonlinearities
Liu, YJ
Zhang, BG
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2004, 13 (01): : 25 - 40
[2] POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES DEPENDING ON x'
Chen, Yun
Yan, Baoqiang
Zhang, Lili
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[3] On sign-changing solution for some three-point boundary value problems
Xian, X
Sun, JX
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (04) : 491 - 505
[4] Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities
Li, Gaoshang
Liu, Xiping
Jia, Mei
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) : 348 - 355
[5] MULTIPLE POSITIVE SOLUTIONS FOR SECOND-ORDER THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES
Liu, Jian
Zhao, Zengqin
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[6] POSITIVE SOLUTIONS FOR SECOND-ORDER SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN-CHANGING NONLINEARITIES
Ji, Caisheng
Yan, Baoqiang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[7] EXISTENCE OF SIGN-CHANGING SOLUTION FOR THREE-POINT BOUNDARY VALUE PROBLEM
Li Chunyan~(1
2.Dept.of Math.
[J]. Annals of Applied Mathematics, 2007, (02) : 149 - 158
[8] Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities
Ji C.
O'Regan D.
Yan B.
Agarwal R.P.
[J]. Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 61 - 87
[9] Positive solutions of second-order three-point boundary value problems with sign-changing coefficients
Xue, Ye
Zhang, Guowei
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (97) : 1 - 10
[10] Positive solutions of three-point boundary value problems
缪烨红
张吉慧
[J]. Applied Mathematics and Mechanics(English Edition), 2008, (06) : 817 - 823

← 1 2 3 4 5 →