具非线性扩散系数和阻尼项的中立型双曲偏微分方程解的振动性  

Oscillation of the Solutions of Neutral Hyperbolic Partial Differential Equation with Nonlinear Diffusion Coefficient and Damped Term

作　　者：曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《云南民族大学学报（自然科学版）》2010年第3期181-184,共4页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：湖南省教育厅基金(07C165);衡阳师范学院青年科学基金(08A26)

摘　　要：研究了一类具非线性扩散系数和阻尼项的中立型双曲偏微分方程,通过利用R iccati变换和微分不等式方法,获得了该方程在2类边值条件下解振动的一些充分条件.This paper discusses the oscillation of solutions of neutral hyperbolic partial differential equation with nonlinear diffusion coefficient and damped term.Some sufficient conditions for each solution are obtained by using Riccati transformation and the method of differential inequality under two kinds of different boundary value conditions.

关 键 词：阻尼项 非线性扩散系数 双曲型偏微分方程 

分 类 号：O175.27[理学—数学]