Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces

被引：28

作者：

Zhang, Xuemei ^{[1
,2
]}

Yang, Xiaozhong ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Impulsive differential equations; Positive solution; Fixed point theory; Banach space; Measure of noncompactness; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; CONJUGATE;

D O I：

10.1016/j.na.2009.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the fixed point theory for strict set contraction operator, this paper investigates the existence of positive solutions for a class of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces. Moreover, we offer some interesting discussion of the associated boundary value problems. Since the technique to deal with nth-order BVP is completely different from that of previous papers, the expression of the associated integral equation is simpler than that of relevant papers, and upper and lower bounds for these positive solutions also are given, our work is new. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：5930 / 5945

页数：16

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