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具非线性扩散系数的中立双曲型阻尼偏微分方程组解的振动性
引用本文:曾云辉. 具非线性扩散系数的中立双曲型阻尼偏微分方程组解的振动性[J]. 数学的实践与认识, 2009, 39(14)
作者姓名:曾云辉
作者单位:衡阳师范学院,数学与计算科学系,湖南,衡阳,421008
基金项目:湖南省教育厅基金,衡阳师范学院科学基金青年项目 
摘    要:研究一类具非线性扩散系数的中立双曲型阻尼偏微分方程组的振动性.通过利用R iccati变换、微积分技巧,获得了该方程组在两类边值条件下解振动的一些充分条件.

关 键 词:阻尼项  非线性扩散系数  偏微分方程组

Oscillation of the Solutions of Neutral Hyperbolic Damped Partial Differential Equations with Nonliear Diffusion Coefficient
ZENG Yun-hui. Oscillation of the Solutions of Neutral Hyperbolic Damped Partial Differential Equations with Nonliear Diffusion Coefficient[J]. Mathematics in Practice and Theory, 2009, 39(14)
Authors:ZENG Yun-hui
Abstract:We studied oscillation of the solutions of Neutral hyperbolic damped partial differential equations with nonliear diffusion coefficient,Some sufficient conditions for solutions to be oscillation were obtained under two kinds of boundary conditions by using Riccati transformation and calculous technique.
Keywords:damped term  nonlinear diffusion coefficient  partial differential equations
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