Razumikhin technique for boundedness of the solutions of impulsive integro differential equations

被引:3
|
作者
Hristova, SG [2 ]
Roberts, LF
机构
[1] Paisij Hilendarski Univ Plovdiv, BG-4000 Plovdiv, Bulgaria
[2] Georgia So Univ, Statesboro, GA 30460 USA
关键词
impulsive integrodifferential equations; uniform boundedness; Lyapunov functions;
D O I
10.1016/S0895-7177(01)00103-0
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper investigates uniform boundedness of solutions of nonlinear impulsive integrodifferential equations. The Razumikhin technique using piecewise continuous Lyapunov functions is applied. The boundedness in both cases of fixed and variable moments are studied. The obtained sufficient conditions significantly depend on the moments of impulses. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:839 / 847
页数:9
相关论文
共 50 条
  • [1] Razumikhin type boundedness theorems in terms of two measures for impulsive integro-differential systems
    Lu, Zhuo-ying
    Zheng, Yan-Lin
    Zhang, Lai-liang
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (04): : 1007 - 1016
  • [2] Razumikhin Type Boundedness Theorems in Terms of Two Measures for Impulsive Integro-differential Systems
    Zhuoying L
    YanLin ZHENG
    Lailiang ZHANG
    Acta Mathematicae Applicatae Sinica(English Series), 2014, 30 (04) : 1007 - 1016
  • [3] Razumikhin Type Boundedness Theorems in Terms of Two Measures for Impulsive Integro-differential Systems
    Zhuo-ying L
    Yan-Lin ZHENG
    Lai-liang ZHANG
    Acta Mathematicae Applicatae Sinica, 2014, (04) : 1007 - 1016
  • [4] Razumikhin type boundedness theorems in terms of two measures for impulsive integro-differential systems
    Zhuo-ying Lü
    Yan-Lin Zheng
    Lai-liang Zhang
    Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 1007 - 1016
  • [5] BOUNDEDNESS OF SOLUTIONS OF A SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS
    KUEN, SM
    RYBAKOWSKI, KP
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (02) : 378 - 390
  • [6] Approximate solutions of impulsive integro-differential equations
    Jain R.S.
    Reddy B.S.
    Kadam S.D.
    Arabian Journal of Mathematics, 2018, 7 (4) : 273 - 279
  • [7] Exponential boundedness of solutions for impulsive delay differential equations
    Berezansky, L
    Braverman, E
    APPLIED MATHEMATICS LETTERS, 1996, 9 (06) : 91 - 95
  • [8] Razumikhin techniques in impulsive functional differential equations
    Shen, J.H.
    Nonlinear Analysis, Theory, Methods and Applications, 1999, 36 (01): : 119 - 130
  • [9] Razumikhin techniques in impulsive functional differential equations
    Shen, JH
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (01) : 119 - 130
  • [10] BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS
    Shao, Jing
    Meng, Fanwei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1575 - 1585