Positive solutions of an infinite boundary value problem for nth-order nonlinear impulsive singular integro-differential equations in Banach spaces

被引：14

作者：

Guo, Dajun ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Impulsive singular integro-differential equation; Infinite boundary value problem; Cone and partial ordering; Measure of noncompactness; Schauder fixed point theorem;

D O I：

10.1016/j.na.2008.02.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper obtains the existence of positive solutions for an infinite boundary value problem of nth-order nonlinear impulsive singular integro-differential equations on the half-line in a Banach space by means of fixed point theory. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2078 / 2090

页数：13

共 50 条

[1] Positive solutions of an infinite boundary value problem for nth-order nonlinear impulsive singular integro-differential equations in Banach spaces
Xu, Yumei
Zhang, Haijun
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5806 - 5818
[2] Positive solutions for nth-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banach spaces
Zhang, Haijun
Liu, Lishan
Wu, Yonghong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (02) : 772 - 787
[3] Solutions for nth-order boundary value problems of impulsive singular nonlinear integro-differential equations in Banach spaces
Chen, Yanlai
Cao, Tingqiu
Qin, Baoxia
[J]. BOUNDARY VALUE PROBLEMS, 2014,
[4] Infinite boundary value problems for nth-order nonlinear impulsive integro-differential equations in Banach spaces
Liu, Lishan
Liu, Zhenbin
Wu, Yongliong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (09) : 2670 - 2679
[5] Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in Banach spaces
Guo, DJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (04) : 618 - 641
[6] 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
[7] Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space
Guo, DJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (07) : 985 - 1006
[8] Multiple positive solutions for nth-order impulsive integro-differential equations in Banach spaces
Guo, DJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (05) : 955 - 976
[9] Extremal solutions for a boundary value problem of Nth-order impulsive integro-differential equations in a Banach space
Guo, Dajun
Liu, Xinzhi
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (05): : 599 - 619
[10] A unique positive solution for nth-order nonlinear impulsive singular integro-differential equations on unbounded domains in Banach spaces
Zhang, Haijun
Liu, Lishan
Wu, Yonghong
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 649 - 659

← 1 2 3 4 5 →