具阻尼项的偶数阶向量中立型偏微分方程的H-振动性

J4 ›› 2011, Vol. 46 ›› Issue (11): 75-80.

具阻尼项的偶数阶向量中立型偏微分方程的H-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:2010-12-02 出版日期:2011-11-20 发布日期:2011-11-30
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:
湖南省教育厅计划项目(10C0490)

H-oscillation of even order vector neutral partial differential equations with damped terms

CAI Jiang-tao

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

Received:2010-12-02 Online:2011-11-20 Published:2011-11-30

摘要/Abstract

摘要：

研究一类具有阻尼项的偶数阶向量中立型偏微分方程的H-振动性,借助于内积降维方法,利用Riccati变换并引入参数函数,获得该类方程在Robin和Dirichlet边值条件下所有解H-振动的充分判据。

关键词: 阻尼;中立型;偏微分方程;H-振动性

Abstract:

The H-oscillation of a class of even order vector neutral partial differential equations with damped terms are studied. Some criteria of sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary conditions by employing the method of reducing dimension with the inner product and making use of Riccati transformation and introducing parameter functions.

Key words: damping; neutral type; partial differential equation; H-oscillation

蔡江涛. 具阻尼项的偶数阶向量中立型偏微分方程的H-振动性[J]. J4, 2011, 46(11): 75-80.

CAI Jiang-tao. H-oscillation of even order vector neutral partial differential equations with damped terms[J]. J4, 2011, 46(11): 75-80.

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