Existence and uniqueness of solutions for nonlinear impulsive partial differential equations with delay

被引：5

作者：

He, Lianhua ^{[1
,2
]}

Liu, Anping ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[2] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期

关键词：

Nonlinear impulsive equations; Delay; Coupled upper-lower solutions; Existence and uniqueness; Ecology model; PREDATOR-PREY MODEL; GLOBAL ATTRACTIVITY; PARABOLIC EQUATIONS; DISTRIBUTED DELAYS; NEURAL-NETWORKS; MONOTONE METHOD; SYSTEMS; STABILITY;

D O I：

10.1016/j.nonrwa.2009.01.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper. a system of nonlinear impulsive partial differential equations with delay is investigated by the method of upper-lower solutions. The existence-uniqueness result of this system and the comparison principle of the corresponding equations are obtained. An application is given to some model problems in ecology. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：952 / 958

页数：7

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