期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

泛函差分方程的概周期解的存在和稳定性

Stability Properties and Existence of Almost Periodic Solutions of Functional Difference Equations
下载PDF
导出
摘要 对于具有无界时滞的泛函差分方程,通过有界解的完全稳定性刻划了解的概周期和渐近概周期性的存在. For functional difference equations with unbounded delay,the existence of almost periodic and asymptotically almost periodic solution was characterized using total stability properties of a bounded solution.
作者 吴中华
机构地区 广州南洋理工职业学院基础部
出处 《佳木斯大学学报（自然科学版）》 CAS 2013年第4期635-637,共3页 Journal of Jiamusi University：Natural Science Edition
关键词 泛函差分方程 概周期解 完全稳定性 functional difference equation almost periodic solution total stability property
分类号 O175.7 [理学—基础数学]
  • 相关文献

参考文献13

  • 1Hamaya Y. On the Existence of almost Periodic Solutions of a Nonlinear Volterra Difference Equation[J]. International Journal of Difference Equations (IJDE), 2007, 2(2) : 187 -196.
  • 2Zhang S, Liu P, Gopalsamy K. Almost Periodic Solutions of Nonautonomous Linear Difference Equations[ J]. Applicable A- nalysis, 2002, 81(2): 281 -301.
  • 3Agarwal R P, O~gan D and Wong P J Y, Constant-sign Peri- odic and almost Periodic Solutions of a System of Difference E-quations [ J ]. Computers & Mathematics with Applications, 2005, 50(10) : 1725 - 1754.
  • 4Ignatyev A O, Ignatyev O A. On the Stability in Periodic and al- most Periodic Difference Systems [ J ]. Journal of Mathematical Ana/ysis and Applications, 2006, 313(2) : 678 -688.
  • 5Sung Kyu C, Namjip K. Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay [ J ]. Ad- vances in Difference Equations, 2008.
  • 6Choi S K, Goo Y H, Im D M, et al. Total Stability in Nonlinear Discrete Volterra Equations with Unbounded Delay[ J]. Abstract and Applied Analysis. Hindawi Publishing Corporation, 2009.
  • 7Song Y. Almost Periodic Solutions of Discrete Volterra Equations [ J]. Journal of Mathematical Analysis and Applications, 2006, 314(1) : 174 -194.
  • 8Song Y, Tian H. Periodic and almost Periodic Solutions of Non- linear Discrete Volterra Equations with Unbounded Delay [ J ]. Journal of Computational and Applied Mathematics, 2007, 205 (2) ~ 859 -870.
  • 9Song Y. Asymptotically almost Periodic Solutions of NonlinearVolterra Difference Equations with Unbounded Delay[ J]. Jour- nal of Difference Equations and Applications, 2008, 14 ( 9 ) : 971 -986.
  • 10吴中华.Existence of asymptotically almost periodic solutions and stability properties for functional difference equations[J].Journal of Chongqing University,2012,11(2):97-102. 被引量：4

二级参考文献19

  • 1Bondi P, Moauro V, Visentin F. Limiting equations in the stability problem [J]. Nonlinear Analysis, Theory, Methods & Applications [ISSN 0362-546X], 1977, 1(2): 123-128.
  • 2Artstein Z. Uniform asymptotic stability via the limiting equations [J]. Journal of Differential Equations [ISSN 0022-0396], 1978, 27(2): 172-189.
  • 3D'arma A, Maio A, Monte A. Limiting equations in asymptotic stability problems for nonautonomous differential equations [J]. Annali dell'Universita di Ferrara [ISSN 0430-3202], 1979, 25(1): 75-97.
  • 4Visentin F. Limiting equations in the problem of total stability [J]. Ricerche di Matematica [ISSN 0035-5038], 1979, 28(2): 323-331.
  • 5D'anna A, Maio A, Moauro V. Global stability properties by means of limiting equations [J]. Nonlinear Analysis, Theory, Methods & Applications [ISSN 0362-546X], 1980, 4(2): 407-410.
  • 6D'anna A. Limiting equations in the first approximation stability problem for non-autonomous differential equations [J]. Bollettino Della Unione Matematica Italiana [ISSN 0041-7084], 1982, 6(1): 39- 46.
  • 7D'anna A, Monte AM. Limiting equations as a method to prove sets stability [J]. Annali dellZlniversita di Ferrara [ISSN 0430-3202], 1982, 28(1): 67-79.
  • 8Hamaya Y. Total stability property in limiting equations of intcgrodiffcrential equations [J]. Funkcialaj Ekvacioj [ISSN 0532-8721], 1990, 33(2): 345-362.
  • 9Anderson P, Bemfeld SR. Total stability of scalar differential equations determined from their limiting functions [J]. Journal of Mathematical Analysis and Applications [ISSN 0022-247X], 2001, 257(2): 251- 273.
  • 10Visentin F. Limiting processes in the stability problem [J]. Applied Mathematics and Computation [ISSN 0096-3003], 1980, 7(1): 81-91.

共引文献3

佳木斯大学学报（自然科学版）
2013年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部