New Criteria for Oscillation of Vector Parabolic Equationswith Influence of Impulse and Delay

LUO Liping; WANG Yanqun; GONG Zhaogang

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New Criteria for Oscillation of Vector Parabolic Equationswith Influence of Impulse and Delay

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- New Criteria for Oscillation of Vector Parabolic Equationswith Influence of Impulse and Delay
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 51, Issue 2, Pages: 45-48(2012)
- 作者机构：
  
  衡阳师范学院数学与计算科学系,湖南,衡阳,421002
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012，
  
  Published Online：25 March 2012，
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LUO Liping, WANG Yanqun, GONG Zhaogang. New Criteria for Oscillation of Vector Parabolic Equationswith Influence of Impulse and Delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):45-48(2012)
DOI：

LUO Liping, WANG Yanqun, GONG Zhaogang. New Criteria for Oscillation of Vector Parabolic Equationswith Influence of Impulse and Delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):45-48(2012) DOI：

摘要

研究一类基于脉冲和时滞影响的向量抛物型偏微分方程的振动性，利用脉冲时滞微分不等式，建立了该类方程在Dirichlet边值条件下所有解

H-

振动的若干新的充分判据，这里

是R

中的单位向量。所得结果充分反映了脉冲和时滞在方程振动中的影响作用。

Abstract

The oscillation for a class of vector parabolic partial differential equations based on the influence of impulse and delay is investigated. By using impulsive delay differential inequality，some new sufficient criteria are established for

H-

oscillation of all solutions of such equations under Dirichlet boundary value condition， where

is a unit vector in R

. The obtained results fully reflect the influence action of impulse and delay in equation oscillation.

关键词

振动向量抛物型方程脉冲时滞

Keywords

oscillationvectorparabolic equationimpulsedelay

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Related Institution

Institute of Applied Mathematics, Academia Sinica



Department of Mathematics, Hengyang Normal University

College of Mathematics and Statistics， Hanshan Normal University

School of Science, Anhui Agricultural University

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