A class of the first order impulsive dynamic equations on time scales

被引:31
|
作者
Liu, Hongbo [1 ]
Xiang, X. [1 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
基金
美国国家科学基金会;
关键词
Impulsive differential equation; Time scales; Measure chains; Delta derivative; Fixed point; Gronwall's inequality;
D O I
10.1016/j.na.2007.08.052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the first order impulsive dynamic equations on time scales is considered. The existence and uniqueness of solution for a class of nonlinear impulsive dynamic equations on time scales is proved. (C) 2007 Elseiver Ltd. All rights reserved.
引用
收藏
页码:2803 / 2811
页数:9
相关论文
共 50 条
  • [41] ψ-Exponential Stability of Nonlinear Impulsive Dynamic Equations on Time Scales
    Hatipoglu, Veysel Fuat
    Ucar, Deniz
    Kocak, Zeynep Fidan
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [42] Existence Results for Delay Impulsive Dynamic Equations on Time Scales
    Sun, Lijie
    Yang, Jun
    Tian, Baoliang
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 676 - 681
  • [43] Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales
    Hong, Shihuang
    Gao, Jing
    Peng, Yingzi
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [44] Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
    Mouffak Benchohra
    Samira Hamani
    Johnny Henderson
    Advances in Difference Equations, 2006
  • [45] Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
    Chen, Weisong
    Han, Zhenlai
    Sun, Shurong
    Li, Tongxing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [46] First order dynamic inclusions on time scales
    Atici, FM
    Biles, DC
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (01) : 222 - 237
  • [47] On qualitative and quantitative results for solutions to first-order dynamic equations on time scales
    Iguer Luis Domini dos Santos
    Boletín de la Sociedad Matemática Mexicana, 2015, 21 (2) : 205 - 218
  • [48] Nonlocal Initial Value Problems For First-Order Dynamic Equations On Time Scales
    Tikare, Sanket
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 410 - 420
  • [49] On qualitative and quantitative results for solutions to first-order dynamic equations on time scales
    Domini dos Santos, Iguer Luis
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2015, 21 (02): : 205 - 218
  • [50] Oscillation criteria for first order forced delay dynamic equations with maxima on time scales
    Agwa, H. A.
    Hassan, Heba A.
    Magdy, E.
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2021, 11 (02) : 160 - 173