New results for the periodic boundary value problem for impulsive integro-differential equations

被引：95
|
作者：
Luo, Zhiguo [1 ]
Nieto, Juan J. [2 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 06期
关键词：
Periodic boundary value problem; Impulsive integro-differential equations; Comparison principle; Monotone iterative technique; MONOTONE ITERATIVE TECHNIQUE; GLOBAL ATTRACTIVITY; PULSE VACCINATION; EPIDEMIC MODEL; 1ST-ORDER;
D O I：
10.1016/j.na.2008.03.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discusses the periodic boundary value problem for first-order nonlinear impulsive integro-differential equations. We prove some new comparison principles, and then establish new existence results for extremal solutions by using these principles and the monotone iterative technique. These results improve and extend all known relevant conclusions from the literature. Some examples are also given to illustrate the advantage of our results. (C) 2009 Published by Elsevier Ltd
引用
收藏
页码：2248 / 2260
页数：13
相关论文
共 50 条
  • [1] Maximum principles for the periodic boundary value problem for impulsive integro-differential equations
    Li, Jianli
    Luo, Zhiguo
    Yang, Xuxin
    Shen, Jianhua
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) : 3837 - 3841
  • [2] Periodic boundary value problems for impulsive conformable fractional integro-differential equations
    Asawasamrit, Suphawat
    Ntouyas, Sotiris K.
    Thiramanus, Phollakrit
    Tariboon, Jessada
    BOUNDARY VALUE PROBLEMS, 2016,
  • [3] Periodic boundary value problems for impulsive integro-differential equations in Banach spaces
    Liu, XZ
    DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 81 - 93
  • [4] Periodic boundary value problems for impulsive integro-differential equations in Banach spaces
    Liu, XZ
    DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 129 - 142
  • [5] Periodic boundary value problems for impulsive integro-differential equations of mixed type
    Li, Jianli
    Shen, Jianhua
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) : 890 - 902
  • [6] Periodic boundary value problems for impulsive conformable fractional integro-differential equations
    Suphawat Asawasamrit
    Sotiris K Ntouyas
    Phollakrit Thiramanus
    Jessada Tariboon
    Boundary Value Problems, 2016
  • [7] Impulsive anti-periodic boundary value problem of first-order integro-differential equations
    Wang, Xiaohuan
    Zhang, Jihui
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (12) : 3261 - 3267
  • [8] INTEGRAL BOUNDARY VALUE PROBLEM FOR FIRST ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS
    Jingli Xie
    Annals of Applied Mathematics, 2010, (01) : 87 - 93
  • [9] Integral boundary value problem for impulsive integro-differential equations in Banach spaces
    Wang G.
    Zhang L.
    Song G.
    Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 559 - 574
  • [10] Boundary value problem for first order impulsive functional integro-differential equations
    Zhang, Lihong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 2442 - 2450
12345