Positive solutions for nonhomogeneous boundary value problems in banach spaces

被引：1

作者：

Jiang, Weihua ^{[1
]}

Wang, Bin ^{[2
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

[2] Hebei Profess & Technol Coll Chem & Pharmaceut En, Dept Basic Courses, Shijiazhuang 050026, Hebei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期

关键词：

Banach space; Integral operator; Strict set contraction; Nonhomogeneous boundary value problem; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.1016/j.amc.2010.09.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using Darbo fixed point theorem, the existence and nonexistence of fixed point are obtained for the following integral operator T(lambda)y(t) =integral(1)(0) G(t, s)f(s, y(s))ds + lambda tv. Using these results, we investigate the existence and nonexistence of positive solutions for second-order nonhomogeneous local and nonlocal boundary value problems in Banach spaces. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3504 / 3510

页数：7

共 20 条

[1] Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
Ahmad, Bashir
Alsaedi, Ahmed
Alghamdi, Badra S.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1727 - 1740
[2] DEMLING K, 1977, ORDINARY DIFFERENTIA
[3] Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces
Feng, Meiqiang
Ji, Dehong
Ge, Weigao
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) : 351 - 363
[4] A class of three-point boundary-value problems for second-order impulsive integro-differential equations in Banach spaces
Feng, Meiqiang
Pang, Huihui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 64 - 82
[5] Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian
Feng, Meiqiang
Du, Bo
Ge, Weigao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3119 - 3126
[6] Guo D., 1988, NONLINEAR PROBLEMS A
[7] Guo D., 1996, Nonlinear Integral Equations in Abstract Spaces
[8] Existence of positive solutions for nth-order nonlinear impulsive singular integro-differential equations in Banach spaces
Guo, Dajun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) : 2727 - 2740
[9] MULTIPLE SOLUTIONS OF 2-POINT BOUNDARY-VALUE PROBLEMS OF ORDINARY DIFFERENTIAL-EQUATIONS IN BANACH-SPACES
GUO, DJ
LAKSHMIKANTHAM, V
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 129 (01) : 211 - 222
[10] Positive solutions for second-order m-point boundary value problems
Guo, YP
Shan, WR
Ge, WG
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 151 (02) : 415 - 424

← 1 2 →