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无穷时滞Logistic方程的概周期解存在定理 被引量:4

THE EXISTENCE THEOREM OF ALMOST PERIODIC SOLUTION FOR THE LOGISTIC EQUATION WITH INFINITE DELAYS
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摘要 本文讨论一类具无穷时滞Logistic系统,得到了关于该系统的一致持久性结论,由此改进文[3]中概周期解存在定理,同时解决了该文中的一个猜想. This paper discusses the Logistic equations with infinite delays. The anthor presents some results of persistence, and generalizes the existence theorems of almost periodic solutions obtained in [3]. Meanwhile, the open question proposed by G. Seifert[3] has been solved.
作者 徐建华
机构地区 安徽大学数学系
出处 《数学年刊(A辑)》 CSCD 北大核心 2002年第3期307-310,共4页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.19801014) 安徽省教委自然科学基金资助的项目.
关键词 无穷时滞 LOGISTIC方程 一致持久 概周期解 Infinite delay,Logistic equation, Uniformly persistence, Almost periodic solution
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参考文献2

  • 1Seifert, G., Almost periodic solutions for delay Logistic equations with almost periodic time dependence [J], Diff. & Inte. Eqs., 9(1996), 335-342.
  • 2Xu Jianhua & Zheng Zuxiu, The existence of almost periodic solution of nonlinear differential equation [J], Ann. of Diff. Eqs., 14:2(1998), 346-349.

同被引文献25

  • 1翁佩萱,梁妙莲.一个造血模型周期解的存在性及其性态[J].应用数学,1995,8(4):434-439. 被引量:12
  • 2何尾莲.具时变离散时滞单种群反馈控制模型的全局稳定性[J].福州大学学报(自然科学版),2005,33(5):553-556. 被引量:4
  • 3GOPALSAMY K.Stability and oscillations in delay differential equations of population dynamics[M].Dordrecht:Kluwer Academic Publisers Group,1992.
  • 4SEIFERT G.Almost periodic solutions for delay logistic equations with almost periodic time dependence[J].Differential Integral Equation,1996,9(2):335-342.
  • 5XU J B,TENG Z D.Permanence for a nonautonomous discrete single-species system with delays and feedback control[J].Appl Math Lett,2010,23:949-954.
  • 6JUAN H,TENG Z D,GAO S J.Permanence and global stability for nonautonomous N-species Lotka-valterra competitive system with impulses[J].Nonlinear Anal Real World Appl,2010,11(3):1882-1896.
  • 7CHEN F D,YANG J H,Ch EN L J.Note on the persistent property of a feedback control system with delays[J].Nonlinear Anal Real World Appl,2010,11(2):1061-1066.
  • 8YANG W S,LI X P,Ch EN L J.Feedback control has no influence on the persistent property of a single species discrete model with time delays[J].Math Comput Modelling,2011,54(9/10):2007-2013.
  • 9FAN Y H,WANG L L.Permanence for a discrete model with feedback control and delay[J].Discrete Dyn Nat Soc,doi:10.1155/2008/945109.
  • 10吴丽萍.具有反馈控制和时滞的“食物有限”离散种群模型的持久性[J].闽江学院学报,2008,29(5):19-22. 被引量:2

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