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二阶半线性泛函微分方程解的振动性 被引量:1

Oscillation for Second Order Half-linear Functional Differential Equations
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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. 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.
作者 邢鸿雁
出处 《广东工业大学学报》 CAS 2005年第1期119-123,共5页 Journal of Guangdong University of Technology
关键词 振动 二阶半线性泛函微分方程 oscillation second order half-linear functional differential equations Young imequality
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参考文献6

  • 1Hong H L,Lian W C, Yeh C C. The oscillation of half-linear differential equations with an oscillatory coefficient[J].Mathl.Comput.Modelling,1996,24(7):77-86.
  • 2Hsu H B,Yeh C C.Oscillation theorems for second order half-linear differential equations[J].Appl.Math.Lett,1996,9(6):71-77.
  • 3Li H J,Yeh C C.Nonoscillation criteria for second order half-linear differential equations[J].Appl.Math.Leet,1995,8(5):63-70.
  • 4Manojlovic J V.Oscillation criteria for second order half-linear defferential equations[J].Mathl.Comput.Modelling,1999,(30):109-119.
  • 5Wong P J Y, Agarwal R P Oscillation theorems and existence criteia of asymptoically monotone solutions for second oeder differential equations[J].Dynam Sys.Appl,1995,(4):477-496.
  • 6Agarwal R P,Shieh S L,Yeh C C.Oscillation criteria for second order retarded differential equations[J].Mathl.Comput.Modelling,1997,26(4):1-11.

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