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一类脉冲中立型抛物方程组振动的充要条件

罗李平 高正晖 曾云辉

中北大学学报(自然科学版)2011,Vol.32Issue(3):249-252,4.
中北大学学报(自然科学版)2011,Vol.32Issue(3):249-252,4.DOI:10.3969/j.issn.1673-3193.2011.03.002

一类脉冲中立型抛物方程组振动的充要条件

Necessary and Sufficient Conditions for Oscillation of a Class of Impulsive Neutral Parabolic Equations

罗李平 1高正晖 1曾云辉1

作者信息

  • 1. 衡阳师范学院数学与计算科学系,湖南衡阳421008
  • 折叠

摘要

Abstract

The oscillation of solutions for the systems of a class of impulsive neutral parabolic partial differential equations was studied. By employing the method of integral average and Green's theorem, necessary and sufficient conditions for oscillation of all solutions of the systems were obtained under Newmann' s boundary condition. By using first order impulsive neutral type differential equations, a sufficient condition for oscillation of all solutions of the systems was presented. The results reveal the impulsive and delay's influence on the oscillation.

关键词

振动/抛物偏微分方程组/中立型/脉冲

Key words

oscillation/ system of parabolic partial differential equations/ neutral type/ impulse

分类

数理科学

引用本文复制引用

罗李平,高正晖,曾云辉..一类脉冲中立型抛物方程组振动的充要条件[J].中北大学学报(自然科学版),2011,32(3):249-252,4.

基金项目

湖南省教育厅高校科研计划项目(07C164) (07C164)

中北大学学报(自然科学版)

OA北大核心CSTPCD

1673-3193

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