LU Shi-ping, GE Wei-gao. Problem of Periodic Solutions for Neutral Functional Differential Equation[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1269-1275.
Citation: LU Shi-ping, GE Wei-gao. Problem of Periodic Solutions for Neutral Functional Differential Equation[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1269-1275.

Problem of Periodic Solutions for Neutral Functional Differential Equation

  • Received Date: 2000-09-25
  • Rev Recd Date: 2002-06-11
  • Publish Date: 2002-12-15
  • The problem of periodic solutions for a kind of k-th order linear neutral functional differential equation is studied. By using the theory of Fourier expansions, a sufficient and necessary condition to guarantee the existence and uniqueness of periodic solution is obtained. Further, by applying this result and Schauder. s fixed point principle, a kind of k-th order nonlinear neutral functional differential equation is investigated, and some new results on existence of the periodic solutions are given as well.These results improve and extend some known results in recent literature.
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  • [1]
    Burton A,Zhong B.Periodic solutions abstract differential equations with infinite delay[J].J Differential Equations,1991,90(2):357-396.
    [2]
    Hatvani L,Krisztin T.On the existence of periodic solutions for linear and inhomogeneous and quasilinear functional differential equations[J].J Differential Equations,1992,97(1):1-15.
    [3]
    Zhong M R.Periodic solutions of linear and quasilinear neutral functional differential equations[J].J Math Anal Appl,1995,189(2):378-392.
    [4]
    鲁世平.一类n维中立型泛函微分方程周期解[J].数学研究,1998,31(3):283-289.
    [5]
    鲁世平.一类中立型泛函微分方程周期解[J].数学杂志,2000,20(2):151-155.
    [6]
    鲁世平.一类n阶中立型泛函微分方程周期解[J].数学研究,2000,33(3):110-116.
    [7]
    司建国.关于高阶常系数线性中立型方程周期解的讨论[J].应用数学和力学,1996,17(1):29-37.
    [8]
    曹进德.一类高阶中立型方程周期解[J].应用数学和力学,1999,20(6):605-612.
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