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THE POSITIVE PERIODIC SOLUTIONS OF PERIODIC RFDEs WITH INFINITE DELAY 被引量：2

THE POSITIVE PERIODIC SOLUTIONS OF PERIODIC RFDEs WITH INFINITE DELAY
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摘要 This paper is concerned with the periodic retarded functional differential equati-ons(RFDEs) with infinite delay. The sufficient conditions for the existence of noncon-stant positive periodic solutions are established by combining the theory of monotone semiflows generated by RFDEs with infinite delay and the fixed point theorems of solution operators. A nontrivial application of the results obtained here to a well-known nonautonomous Lotka-Volterra system with infinite delay is also presented. This paper is concerned with the periodic retarded functional differential equati-ons(RFDEs) with infinite delay. The sufficient conditions for the existence of noncon-stant positive periodic solutions are established by combining the theory of monotone semiflows generated by RFDEs with infinite delay and the fixed point theorems of solution operators. A nontrivial application of the results obtained here to a well-known nonautonomous Lotka-Volterra system with infinite delay is also presented.
作者 王良龙 王志成
出处 《Annals of Differential Equations》 2002年第3期286-297,共12页 微分方程年刊（英文版）
基金 Project supported by NNSF of China (No:19971026).
关键词 retarded functional differential equations infinite delay periodic solution monotone semiflow phase space solution operator uniform persistence Lotka-Volterra system retarded functional differential equations, infinite delay, periodic solution, monotone semiflow, phase space, solution operator, uniform persistence, Lotka-Volterra system
分类号 O175 [理学—基础数学]
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同被引文献13

  • 1E.Berette,F.Solinmano.A generalization of Voterra models with continuous time delay in population dynamics:boundedness and global asymptotic stability[].SIAM Journal on Applied Mathematics.1998
  • 2Ke Wang,Q.C.Huang.C h space and periodic solution and boundary of functional differential equation with infinite delay[].Scientia Sinica.1987
  • 3Lianglong Wang,Z.C.Wang,X.F.Zou.Periodic solutions of neutral functional differential equations[].Journal of the London Mathematical Society.2002
  • 4Lianglong Wang,Z.C.Wang.Positive periodic solutions of periodic retarded functional differential equations[].Journal of Applied Mathematics.2003
  • 5R.P.Agarwal,H.B.Thompson.On the existence of multiple solution to boundary value problems for second order ordinary differential equations[].DynamSystems Appl.2007
  • 6Zhiguo Luo,Zhujun Jing.Periodic boundary value problem for first-order impulsive functio-nal differential equations[].Computer&Mathematics with Applications.2008
  • 7Lili Gao,Lianglong Wang,Yumei Zhao.Positive periodic solutions of second order func-tional differential equations with infinite delay[].College Mathematics.2010
  • 8Kuang Y,Smith H L.Global stability for infinite delay Lotka-Volterra type systems[].Journal of Differential Equations.1993
  • 9Li Yongkun.Periodic solution of a periodic neutral delay equation[].Journal of Mathematical.1997
  • 10Cushing J M.Periodic kolmogorov systems[].Journal of Mathematical Analysis and Applications.1982

引证文献2

二级引证文献5

Annals of Differential Equations
2002年 第3期

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