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具连续分布时滞的二阶半线性中立型阻尼泛函微分方程的Philos型振动定理
引用本文:林文贤.具连续分布时滞的二阶半线性中立型阻尼泛函微分方程的Philos型振动定理[J].韩山师范学院学报,2012(3):7-12.
作者姓名:林文贤
作者单位:韩山师范学院数学与应用数学系,广东潮州521041
摘    要:通过利用Riccati变换和Philos方法,获得了具连续分布时滞和阻尼项的二阶半线性中立型泛函微分方程的区间振动准则,推广和改进了文献中的结果.

关 键 词:二阶半线性微分方程  Philos型振动准则  阻尼项  Hi31der不等式

Philos-Type Oscillation Theorems for Second Order Half-Linear Differential Equations with Continuous Distributed Delays and Damping Terms
LIN Wen-xian.Philos-Type Oscillation Theorems for Second Order Half-Linear Differential Equations with Continuous Distributed Delays and Damping Terms[J].Journal of Hanshan Teachers College,2012(3):7-12.
Authors:LIN Wen-xian
Institution:LIN Wen-xian(Department of Mathematics and Applied Mathematics,Hanshan Normal University,Chaozhou 521041,China)
Abstract:By using Riccati transformation and Philos’s method,some new interval oscllatory criteria for second order half-linear differential equations with continuous distributed delays and damping terms are obtained.Some previous results are generalized.
Keywords:second order half-linear differential equation  Philos-type oscillation criteria  damping terms  Hlder’s inequality
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