Existence results for nonlinear boundary value problems with m-point integral boundary condition

被引：0

作者：

Cerdik, Tugba Senlik ^{[1
]}

Hamal, Nuket Aykut ^{[1
]}

机构：

[1] Ege Univ, Dept Math, Izmir, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 47卷 / 06期

关键词：

Boundary value problems; fixed point theorems; integral boundary conditions; POSITIVE SOLUTIONS;

D O I：

10.15672/HJMS.2017.450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of positive solutions for the nonlinear m-point boundary value problems with integral boundary condition. By using fixed-point index theorem and Leggett- Williams fixed point theorem, the existence and multiplicity of positive solutions are obtained. As an application, two examples are given to demonstrate our results.

引用

页码：1521 / 1536

页数：16

共 50 条

[31] SEMIPOSITONE m-POINT BOUNDARY-VALUE PROBLEMS
Kosmatov, Nickolai
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[32] Positive solutions of nonlinear m-point boundary value problems on time scales
Hamal, N. Aykut
Yoruk, Fulya
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 92 - 105
[33] Positive solutions of nonlinear m-point boundary value problems on a measure chain
Kong, LJ
Kong, QK
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (01) : 121 - 133
[34] Existence of solutions for a class of fourth-order m-point boundary value problems
Sun, Jian-Ping
Ren, Qiu-Yan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (14) : 1 - 8
[35] Existence of multiple positive solutions for m-point boundary value problems in Banach spaces
Zhao, Yu-Lin
Chen, Hai-Bo
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (01) : 79 - 90
[36] Existence of nonnegative solutions for second order m-point boundary value problems at resonance
Wang, Feng
Cui, Yujun
Zhang, Fang
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4849 - 4855
[37] EXISTENCE OF POSITIVE SOLUTION TO SUPERLINEAR SEMIPOSITONE SINGULAR m-POINT BOUNDARY VALUE PROBLEMS
Zhang Xingqiu (School of Mathematics
Annals of Applied Mathematics, 2008, (04) : 490 - 497
[38] The existence of countably many positive solutions for some nonlinear nth order m-point boundary value problems
Ji, Yude
Guo, Yanping
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 187 - 200
[39] The existence of countably many positive solutions for nonlinear singular m-point boundary value problems on time scales
Liang, Sihua
Zhang, Jihui
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) : 291 - 303
[40] Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems
Du, Xinsheng
Zhao, Zengqin
APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) : 487 - 493

← 1 2 3 4 5 →