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时滞差分方程周期正解的存在性 被引量:13

EXISTENCE OF PERIODIC POSITIVE SOLUTIONS FOR DELAY DIFFERENCE EQUATIONS
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摘要 本文考虑了一类非线性离散种群模型周期正解的存在性. In this paper, the existence of periodic positive solutions for a class of nonlinear delay difference equations is studied by using the Krasnoselskii's fixed point theorem.
出处 《系统科学与数学》 CSCD 北大核心 2003年第2期155-162,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金 山西省教育厅高科技开发项目基金资助课题.
关键词 时滞差分方程 周期正解 存在性 KRASNOSELSKII不动点定理 Difference equation, delay, periodic positive solution, cone, fixed point theo rem.
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参考文献6

  • 1Agarwal R P and Pang P Y H. On a generalized difference system. Nonlinear Anal., 1997, 30:365-376.
  • 2Katsunori I. Asymptotic analysis for linear difference equations. Tran. Amer. Math. Soc., 1997,349: 4107-4142.
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同被引文献50

  • 1张炳根.测度链上微分方程的进展[J].中国海洋大学学报(自然科学版),2004,34(5):907-912. 被引量:32
  • 2赵增勤.α凹算子与β凸算子之和的多重不动点及其应用[J].系统科学与数学,2007,27(2):177-183. 被引量:1
  • 3郭大均 孙经先 等.非线性常微分方程泛函方法[M].济南:山东科技出版社,1995..
  • 4郭大均 孙经先 刘兆理.非线性常微分方程泛函方法[M].济南:山东科技出版社,1995..
  • 5Raffoul Y N. Positive periodic solutions of nonlinear functional difference equations [J]. Electron J Differential Equations, 2002,55:1-8.
  • 6Jiang D, Regan D O, Agarwal R P. Optimal existence theory for single and multiple positive periodic solutions to functional difference equations [J]. Appl Math Comput, 2005,161 : 441-462.
  • 7Cheng S S,Zhang G. Positive periodic solutions of a discrete population model [J]. Funet Differ Equ,2000,7(3/4):223-230.
  • 8Li Y,Zhu L. Existence of positive periodic solutions for difference equations with feedback control [J]. Appl Math Letters, 2005,18 ( 1 ) : 61-67.
  • 9Zhang R Y, Wang Z C, Cheng Y, et al. Periodic solution of a single species discrete population model with periodic harvest/stock [J]. Comput Math Appl,2000,39:77-90.
  • 10Agarwal R P, Pang P Y H. On a generalized difference system[J]. Nonlinear Anal, 1997, 30: 365-376.

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