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

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