Comparison results for initial value problems of second-order impulsive integro-differential inclusions

被引：0

作者：

Hong, Shihuang ^{[1
]}

Zhang, Min ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Appl Math & Engn Computat, Hangzhou 310018, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 01期

关键词：

Multivalued operators; Fixed points; Cones; Comparison principles; Impulsive integro-differential inclusions; Initial value problems; BOUNDARY-VALUE PROBLEM; BANACH-SPACES; DIFFERENTIAL-EQUATIONS; MIXED-TYPE; EXISTENCE; OPERATORS; BEHAVIOR;

D O I：

10.1016/j.na.2010.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present new maximum and minimum principles for the initial value problem for a class of second-order nonlinear impulsive integro-differential inclusions with discontinuous multivalued functions on the right hand side in a real Banach space. This allows us to lead on to the development of the comparison principle and monotone iterative technique for a nonlinear second-order impulsive integro-differential inclusion. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：67 / 80

页数：14

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