期刊文献+

脉冲泛函微分方程的正周期解 被引量:2

Positive Periodic Solution of Impulsive Functional Differential Equation
原文传递
导出
摘要 运用Leray-Schauder不动点定理研究一类脉冲泛函微分方程的正周期解的存在性,获得了存在正周期解的充分条件,改进了已知文献中的结果. In this paper,we investigate the existence of positive periodic solutions of impulsive functional differential equations by using Leray-Schauder theorem.Some sufficient conditions for the existence of positive periodic solutions are obtained,which improve the results of literature.
作者 姚志健
出处 《数学的实践与认识》 CSCD 北大核心 2010年第6期195-203,共9页 Mathematics in Practice and Theory
基金 安徽省教育厅自然科学项目(KJ2008B236)
关键词 周期解 脉冲泛函微分方程 LERAY-SCHAUDER不动点定理 periodic solution impulsive functional differential equation leray-schauder theorem
  • 相关文献

参考文献6

  • 1李建利,申建华.一类脉冲泛函微分方程正周期解的存在性(英文)[J].应用数学,2004,17(3):456-463. 被引量:11
  • 2Granas A, Dugundji J. Fixed Point Theory[M]. Springer-Verlag, NewYork, 2003.
  • 3Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. World Scientific Press, Singapore, 1989.
  • 4Cheng S S, Zhang G. Existence of positive periodic solutions for non-autonomous functional differential equations[J]. Electron. J. Differential equation, 2001,59: 1-8.
  • 5Ye D, Fan M, Wang H Y. Periodic solutions for scalar functional differential equations[J]. Nonlinear Anal. 2005, 62: 1157-1181.
  • 6王克.一类具偏差变元的微分方程的周期解[J].数学学报(中文版),1994,37(3):409-413. 被引量:35

二级参考文献14

  • 1李黎明.一类高维非自治系统的周期解[J].应用数学学报,1989,12(3):272-280. 被引量:38
  • 2申建华.脉冲时滞微分方程解的整体存在唯一性、振动性与非振动性[J].数学学报(中文版),1997,40(1):53-59. 被引量:24
  • 3Lakshmikantham V, Bainov D D, Simeonov P S. Theory of impulsive differential equations[M]. Singapore: World Scientific, 1989.
  • 4Bainov D D, Simeonov P S. Systems with impulse effect:stability theory and applications[M]. Chicester,Horwood, 1989.
  • 5Jiang Daqing, Wei Zunji. Existence of periodic positive solutions of non-autonomous functional differential equations[J]. Chin. Math. Ann. 1999,20A(6) :715-720.
  • 6Shen J H. Asymptotically stability results of integro-differential equations with impulsive effeet[J]. Chin.Math. Ann. , 1996,17A(6) : 759-764.
  • 7Li Yong,Zhou Qinde. Periodic solutions to ordinary differential equations with impulses[J]. Science in China, 1993,36A(7) : 778-790.
  • 8Merdiverci F A, Guseinov G Sh. Positive periodic solutions for nonlinear difference equations with periodic coefficients[J]. J. Math. Anal. Appl. , 1999,232 (1) : 166 - 182.
  • 9Wang H. On the existence of positive solutions for semilinear elliptic equations in the annulus[J]. J. Diff.Eqns. ,1994,109(1) :1-7.
  • 10Chow S N. Existence of periodic solutions of autonomous functional differential equations[J]. J. Diff.Eqns. ,1974,15(2) :350-378.

共引文献44

同被引文献12

引证文献2

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