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
收藏
页码：952 / 958
页数：7
相关论文
共 50 条
  • [21] Existence of Periodic Solutions of a Type of Nonlinear Impulsive Delay Differential Equations with a Small Parameter
    Alzabut, Jehad O.
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2008, 15 (Suppl 3) : 13 - 21
  • [22] Existence of Periodic Solutions of a Type of Nonlinear Impulsive Delay Differential Equations with a Small Parameter
    Jehad O Alzabut
    Journal of Nonlinear Mathematical Physics, 2008, 15 : 13 - 21
  • [23] EXISTENCE AND UNIQUENESS OF THE SOLUTIONS TO IMPULSIVE NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Mardanov, Misir J.
    Sharifov, Yagub A.
    Zeynalli, Farah M.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2019, 45 (02): : 222 - 233
  • [24] EXISTENCE AND UNIQUENESS OF PERIODIC-SOLUTIONS OF DIFFERENTIAL DELAY EQUATIONS
    INVERNIZZI, S
    ZANOLIN, F
    MATHEMATISCHE ZEITSCHRIFT, 1978, 163 (01) : 25 - 37
  • [25] Existence and uniqueness for solutions of mixed stochastic delay differential equations
    Liu, Weiguo
    Yu, Qianyi
    Zhang, Xinwen
    RESEARCH IN THE MATHEMATICAL SCIENCES, 2021, 8 (03)
  • [26] EXISTENCE AND UNIQUENESS OF THE SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH IMPULSIVE TERMS
    Ahn, Young-Chel
    Kwun, Young-Chel
    Park, Dong-Gun
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2008, 1 (01): : 93 - 111
  • [27] Existence and uniqueness for solutions of mixed stochastic delay differential equations
    Weiguo Liu
    Qianyi Yu
    Xinwen Zhang
    Research in the Mathematical Sciences, 2021, 8
  • [28] Existence, uniqueness and approximation of solutions to Caratheodory delay differential equations
    Difonzo, Fabio, V
    Przybylowicz, Pawel
    Wu, Yue
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 436
  • [29] Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay
    V. Sadhasivam
    K. Logaarasi
    T. Raja
    The Journal of Analysis, 2019, 27 : 241 - 257
  • [30] Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay
    Sadhasivam, V.
    Logaarasi, K.
    Raja, T.
    JOURNAL OF ANALYSIS, 2019, 27 (01): : 241 - 257
12345