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

一类中立型差分方程的三重正周期解

Triple positive periodic solutions for a class of neutral difference equation
下载PDF
导出
摘要 研究了一类中立型差分方程,运用锥多重不动点理论(Avery-Peterson不动点理论),给出了其至少存在三个正周期解的充分条件. This paper is concerned with a class of neutral difference equation, by using a multiple fixed point theorem（Avery-Peterson fixed point theorem） in cones, several sufficient conditions are established for the existence of at least three positive periodic solutions for the equation.
作者 王丽丽 胡猛
机构地区 安阳师范学院数学与统计学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2016年第5期14-17,23,共5页 Journal of Northwest Normal University(Natural Science)
基金 河南省高等学校重点科研项目(16A110008 15A110004)
关键词 中立型差分方程 正周期解 锥不动点 neutral difference equation positive periodic solution fixed point in cones
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献10

  • 1AGARWAL R P, ZHANG W N. Periodic solutions of difference equations with general periodicity[J]. ComputMathAppl, 2001, 42: 719.
  • 2FAN M, WANG K. Periodic solutions of a discrete time nonautonomous ratio-dependent predator prey system[J]. Math Comput Model, 2002, 35: 951.
  • 3LALLI B S, ZHANG B. On existence of positive solutions and bounded oscillations for neutral difference equations[J]. J Math Anal Appl, 1992, 164 : 272.
  • 4PEICS H. Positive solutions of neutral delay difference equation [J]. Novi Sad J Math, 2005, 35(2): 111.
  • 5ZENG X Y, SHI B, GAI M J. A discrete periodic Lotka-Volterra system with delays[J].Comput Math Appl, 2002, 47: 491.
  • 6LU Shi-ping, GE Wei-gao. Periodic solutions of neutral differential equation with multiple deviating arguments[J]. Appl Math Comput, 2004, 156: 705.
  • 7ZHANG Mei-rong. Periodic solution of linear and quasilinear neutral functional differential equations [J]. J MathAnalAppl, 1995, 189: 378.
  • 8申淑媛.具有反馈控制和时滞变量的离散周期系统周期解的存在性[J].华南师范大学学报（自然科学版）,2007,39(3):14-21. 被引量：1
  • 9WU Jun, LIU Yi-cheng. Two periodic solutions of neutral difference systems depending on two parameters[J]. J Math Anal Appl, 2007, 206: 713.
  • 10AVERY R I, PETERSON A C. Three positive fixed points of nonlinear operators on ordered Banach spaces[J]. ComputMathAppl, 2001, 42: 313.

二级参考文献8

  • 1HUO H F,LI W T.Positive periodic solutions of a class of delay differential system with feedback control[J].Applied Mathematics and Computation,2004,148:35-46.
  • 2LI Y K.Positive periodic solutions for a periodic neutral differential equation with feedback control[J].Nonlinear Analysis,2005,6:145-154.
  • 3LIU P,LI Y K.Multiple positive periodic solutions of nonlinear functional differential system with feedback control[J].J Math Anal Appl,2003,288:819-832.
  • 4GAINES R E,MAWHIN J L.Coincidence Degree and Nonlinear Differential Equations[M].Berlin:Springer-Verlin,1977.
  • 5FAN M,WANG K.Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system[J].Mathematical and Computer Modelling,2002,35:951-961.
  • 6GOPALSAMY K,WENG P X.Feedback regulation of Logistic growth[J].Internat J Math and Math Sci,1993,16(1):177-192.
  • 7GOPALSAMY K,WENG P X.Global attractivity in a competition system with feedback controls[J].Computers and Mathematics with Applications,2003,45:665-676.
  • 8WENG P X,JIANG D Q.Existence and global stability of positive periodic solution of n-species periodic Lotka-Volterra competition system with feedback control and deviating arguments[J].Far East J Math Sci,2002,7(1):45-65.
西北师范大学学报（自然科学版）
2016年 第5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