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基于脉冲控制的非线性时滞双曲系统的振动分析

罗李平,罗振国,曾云辉   

  1. 衡阳师范学院数学与计算科学系,衡阳 421002
  • 收稿日期:2012-09-20 修回日期:2012-12-18 出版日期:2013-09-25 发布日期:2013-12-04

罗李平,罗振国,曾云辉. 基于脉冲控制的非线性时滞双曲系统的振动分析[J]. 系统科学与数学, 2013, 33(9): 1024-1032.

LUO Liping ,LUO Zhenguo ,ZENG Yunhui. OSCILLATION ANALYSIS OF NONLINEAR DELAY HYPERBOLIC SYSTEMS BASED ON IMPULSIVE CONTROL[J]. Journal of Systems Science and Mathematical Sciences, 2013, 33(9): 1024-1032.

OSCILLATION ANALYSIS OF NONLINEAR DELAY HYPERBOLIC SYSTEMS BASED ON IMPULSIVE CONTROL

LUO Liping ,LUO Zhenguo ,ZENG Yunhui   

  1. Department of Mathematics and Computational Science,Hengyang Normal University, Hengyang 421002
  • Received:2012-09-20 Revised:2012-12-18 Online:2013-09-25 Published:2013-12-04
研究一类具非线性扩散项的脉冲时滞双曲系统,利用新的处理非线性扩散项的技巧及脉冲微分不等式, 建立了该类系统在Dirichlet边值条件下所有解振动的若干新的充分性判据. 所得结果充分反映了脉冲和时滞在系统振动中的影响作用.
A class of impulsive delay hyperbolic systems with nonlinear  diffusion term is studied. By using a new technique of treating nonlinear  diffusion term and impulsive differential inequalities, some new sufficient  conditions are established for the oscillation of all solutions of such  systems under Dirichlet boundary value condition. The obtained results fully reflect the influencial actions of impulse and delay in system oscillation.

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