Extremal solutions for a boundary value problem of Nth-order impulsive integro-differential equations in a Banach space

被引：0

作者：

Guo, Dajun ^{[1
]}

Liu, Xinzhi

机构：

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

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷 / 05期

关键词：

impulsive integro-differential equation; comparison result; upper and lower solutions; cone theory and partial ordering;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By establishing a comparison result and using the upper and lower solutions, the authors obtain the existence of maximal and minimal solutions for a boundary value problem of nth-order nonlinear impulsive integro-differential equations in a Banach space.

引用

页码：599 / 619

页数：21

共 11 条

[1] ERBE LH, 1989, APPL ANAL, V34, P231
[2] Guo D. J., 1996, NONLINEAR INTEGRAL E
[3] EXTREMAL SOLUTIONS OF NONLINEAR IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS IN BANACH-SPACES
GUO, DJ
LIU, XZ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 177 (02) : 538 - 552
[4] 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
[5] Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space
Guo, DJ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 233 - 249
[6] Guo DJ, 2002, DYNAM CONT DIS SER A, V9, P449
[7] Guo DJ, 2001, NONLINEAR ANAL-THEOR, V47, P741
[8] GUO DJ, 1988, NONLINEAR PROBLEMS
[9] Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
[10] Liu X, 1990, APPL ANAL, V36, P119

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