广东工业大学学报 ›› 2005, Vol. 22 ›› Issue (1): 119-123.

• 综合研究 • 上一篇    

二阶半线性泛函微分方程解的振动性

  

  1. 广东工业大学应用数学学院 广东广州510090；
  • 出版日期:2005-03-02 发布日期:2005-03-02

Oscillation for Second Order Half-linear Functional Differential Equations

  1.  (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2005-03-02 Published:2005-03-02

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摘要： 通过引入辅助函数和利用Young不等式技巧,研究二阶半线性泛函微分方程解的振动性,所得的结果是新的,且改进了AgarwalRP等人的一个结果.

关键词: 振动； 二阶半线性泛函微分方程； 解；

Abstract: By means of auxilliary functions and Young inequality technique,new oscillation criteria are established for second order half-linear functional differential equations.Its results extend and improve the oscillation theorem of Agarwal R.P.et al.

Key words: oscillation； second order half-linear functional differential equations； Young imequality；

[1] Hong H L,Lian W C,Yeh C C.The oscillation of half-linear differential equations with an oscillatory coefficient. Mathematical and Computer Modelling . 1996

[2] Hsu H B,Yeh C C.Oscillation theorems for second order half-linear differential equations. Applied Mathematics Letters . 1996

[3] Li H J,Yeh C C.Nonoscillation criteria for second order half-linear differential equations. Applied Mathematics Letters . 1995

[4] Manojlovic J V.Oscillation criteria for second order half-linear defferential equations. Mathematical and Computer Modelling . 1999

[5] Wong P J Y.Agarwal R P Oscillation theorems and existence criteia of asymptoically monotone solutions for second oeder differential equations. Dynamic Systems and Applications . 1995

[6] Agarwal R P,Shieh S L,Yeh C C.Oscillation criteria for second order retarded differential equations. Mathematical and Computer Modelling . 1997
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