具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性

J4 ›› 2010, Vol. 45 ›› Issue (2): 66-69.

具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性

曾云辉

衡阳师范学院数学与计算科学系, 湖南衡阳 421008

收稿日期:2009-06-08 出版日期:2010-02-16 发布日期:2010-03-27
作者简介:曾云辉(1978-),男,讲师,硕士,研究方向为偏微分方程振动性. Email: chj8121912@sina.com
基金资助:
湖南省教育厅基金资助项目(07C165);衡阳师范学院青年科学基金资助项目(08A26)

Oscillation of solutions of second order neutral damped partial differentialequation with nonlinear diffusion coefficient

Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan, China

Received:2009-06-08 Online:2010-02-16 Published:2010-03-27

摘要/Abstract

摘要：

研究了一类具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性,通过利用Riccati变换、线性泛函算子理论和引入一类Φ(t,s,l)型的新函数,获得了该方程在两类边值条件下解振动的一些新的充分条件。

关键词: 阻尼项;非线性扩散系数;偏微分方程

Abstract:

The oscillation of solutions of second order neutral damped partial differential equation with nonlinear diffusion coefficient are studied. Some new sufficient conditions for each solution to be oscillation are obtained under twokinds of boundary conditions by using Riccati transformation, theory of linear functional operator and introducing a class of new function Φ(t,s,l).

Key words: damped term; nonlinear diffusion coefficient; partial differential equation

曾云辉. 具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性[J]. J4, 2010, 45(2): 66-69.

ZENG Yun-Hui. Oscillation of solutions of second order neutral damped partial differentialequation with nonlinear diffusion coefficient[J]. J4, 2010, 45(2): 66-69.

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