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

共 41 条

[1] Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3291-3298

[2]

[Anonymous], 2006, Contemporary Mathematics and its Applications

[3]

[Anonymous], 1998, PARTIAL DIFFERENTIAL

[4] IMPULSIVE QUENCHING FOR REACTION-DIFFUSION EQUATIONS [J].

CHAN, CY ;

KE, L ;

VATSALA, AS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (11) :1323-1328

[5]

CHANG YK, J OPTIM THE IN PRESS

[6]

Dou JW, 2006, ACTA MATH APPL SIN-E, V22, P211

[7] Global solutions for impulsive abstract partial differential equations [J].

Eduardo, Hernandez M. ;

Sueli, M. Tanaka Aki ;

Henriquez, Hernan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1206-1215

[8] COMPARISON PRINCIPLES FOR IMPULSIVE PARABOLIC EQUATIONS WITH APPLICATIONS TO MODELS OF SINGLE SPECIES GROWTH [J].

ERBE, LH ;

FREEDMAN, HI ;

LIU, XZ ;

WU, JH .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1991, 32 :382-400

[9]

Friedman A., 1964, Partial differential equations of parabolic type

[10] Comparison method of partial functional differential equations and its application [J].

He, MX ;

Ou, ZL ;

Liu, AP .

APPLIED MATHEMATICS AND COMPUTATION, 2002, 125 (2-3) :271-286

← 1 2 3 4 5 →