具连续分布滞量的偶数阶中立型阻尼偏微分方程解的振动性

J4 ›› 2011, Vol. 46 ›› Issue (3): 94-98.

具连续分布滞量的偶数阶中立型阻尼偏微分方程解的振动性

蔡江涛

衡阳师范学院数学与计算科学系, 湖南衡阳 421008

收稿日期:2010-07-18 发布日期:2011-04-21
作者简介:蔡江涛（1973- ），男，硕士，副教授，主要从事微分方程与动力系统研究.Email:jiangtao-cai@163.com
基金资助:
湖南省教育厅科研计划基金资助项目（10C0490）

Oscillation of solutions to a class of even order neutral-damped partial differential equations with continuously distributed delays

CAI Jiang-tao

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

Received:2010-07-18 Published:2011-04-21

摘要/Abstract

摘要：

研究一类具有阻尼项和连续分布滞量的偶数阶中立型偏微分方程解的振动性,通过利用Riccati变换和引入一类Φ(t,s,l)型的新函数,获得该类方程边值问题解的振动准则。

关键词: 阻尼;中立型;连续分布滞量;偏微分方程;振动性

Abstract:

Oscillatory properties of solutions to a class of even order neutral partial differential equations with damped terms and continuously distributed delays are studied. Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under boundary condition by making use of Riccati transformation and introducing a class of new functions Φ(t,s,l).

Key words: damping; neutral type; continuously distributed delay; partial differential equation; oscillation

蔡江涛. 具连续分布滞量的偶数阶中立型阻尼偏微分方程解的振动性[J]. J4, 2011, 46(3): 94-98.

CAI Jiang-tao. Oscillation of solutions to a class of even order neutral-damped partial differential equations with continuously distributed delays[J]. J4, 2011, 46(3): 94-98.

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