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一类非线性中立型双曲微分方程的振动性
引用本文:林文贤.一类非线性中立型双曲微分方程的振动性[J].南阳师范学院学报,2009,8(3).
作者姓名:林文贤
作者单位:韩山师范学院,数学与信息技术系,广东州521041
摘    要:研究一类具有连续分布滞量的非线性中立型双曲方程解的振动性质.利用Jensen不等式和直接分析方法,获得了一类具连续分布滞量的非线性中立型双曲微分方程所有解振动的若干充分条件.

关 键 词:连续分布滞量  双曲方程  振动性

Oscillation of certain nonlinear neutral hyperbolic differential equations
LIN Wen-xian.Oscillation of certain nonlinear neutral hyperbolic differential equations[J].Journal of Nanyang Teachers College,2009,8(3).
Authors:LIN Wen-xian
Institution:Department of Mathematics and Information Technology;Hanshan Normal University;Chaozhou 521041;China
Abstract:To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay.The Jensen's inequality and a direct analysis technique were used.Some sufficient conditions for the oscillation of all solutions of nonlinear neutral hyperbolic differential equation with continuous distributed delay were obtained.
Keywords:continuously distributed delay  hyperbolic differential equation  oscillation  
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