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高阶非线性时滞微分方程的振动定理*

靳明忠

靳明忠. 高阶非线性时滞微分方程的振动定理*[J]. 应用数学和力学, 1994, 15(9): 823-830.
引用本文: 靳明忠. 高阶非线性时滞微分方程的振动定理*[J]. 应用数学和力学, 1994, 15(9): 823-830.
Jin Ming-zhong. Oscillation Theorems of Higher Order Nonlinear Delay Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(9): 823-830.
Citation: Jin Ming-zhong. Oscillation Theorems of Higher Order Nonlinear Delay Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(9): 823-830.

高阶非线性时滞微分方程的振动定理*

基金项目: *云南省基础研究基金

Oscillation Theorems of Higher Order Nonlinear Delay Differential Equations

  • 摘要: 本文给出一类高阶非线性时滞微分方程振动的充要条件,对强迫时滞微分方程给出若干充分条件或必要条件.
  • [1] Dahiya,R.S.and O.Akinyele,Oscillation theorems of n-th order functional differential equations with forcing terms,J.Math.Anal.Appl.,109(1985),325-332.
    [2] Foster,K.E.and R.C.Grimmer,Nonoscillatory solutions of higher order delay equations,J.Math.Anal Appl.,77(1980),150-164.
    [3] Grace,S.R.and B.S.Lalli,Oscillation theorems for n-th order delay differential equations,J.Math.Anal.Appl.,91(1983),352-366.
    [4] Grace,S.R.and B.S.Lalli,Asymptotic and oscillatory behavior of n-th order forced functional differential equations,J.Math.Anal.Appl.,140(1989),10-25.
    [5] Žilina,R.O.,Oscillation of linear retarded differential equation,Czech.Math.J.,34(1984),371-377.
    [6] Liang Zhong-chao,A9ymptotically periodic solutions of a class of second order nonlinear differential equations,Proc.Anmr.Math.Soc.,99(1987),693-699.
    [7] James S.W.Wong,Second order nonlinear forced oscillations,SIAM.J.Math.Anal.,19(1988),667-675.
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出版历程
  • 收稿日期:  1994-04-02
  • 刊出日期:  1994-09-15

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