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.
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页码：3504 / 3510
页数：7
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