脉冲非线性中立抛物型分布参数系统的振动性分析

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英文篇名：Oscillation analysis for impulsive nonlinear neutral parabolic distributed parameter systems 作者：罗李平 ; 罗振国 ; 侯娟 英文作者：LUO Li-ping;LUO Zhen-guo;HOU Juan;College of Mathematics and Statistics, Hengyang Normal University; 关键词：脉冲 ; 抛物型分布参数系统 ; 振动性 ; 非线性 ; 中立项 英文关键词：impulse;;parabolic distributed parameter system;;oscillation;;nonlinear;;neutral term 中文刊名：YNDZ 英文刊名：Journal of Yunnan University(Natural Sciences Edition) 机构：衡阳师范学院数学与统计学院; 出版日期：2019-01-10 出版单位：云南大学学报(自然科学版) 年：2019 期：v.41;No.199 基金：湖南省自然科学基金面上项目(2018JJ2006);; 湖南省重点实验室项目(2016TP1020);; 湖南省“双一流”应用特色学科项目(湘教通[2018]469号) 语种：中文; 页：YNDZ201901001 页数：6 CN：01 ISSN：53-1045/N 分类号：7-12

摘要

考虑一类带中立项的非线性脉冲抛物型分布参数系统的振动性问题,利用处理中立项的技巧和一阶脉冲时滞微分不等式的某些结果,建立了这类系统在Dirichlet边值条件下所有解振动的若干新的充分性判别条件.所得结论充分反映了脉冲扰动和时滞效应在系统振动中的影响作用.
        The oscillation problems for a class of impulsive nonlinear parabolic distributed parameter systems with neutral term are considered. By using a technique of treating neutral term and some results of first order impulsive delay differential inequalities, some new sufficient differentiation conditions are established for the oscillation of all solutions of such systems under Dirichlet boundary value condition. The conclusions fully reflect the influence action of impulse perturbation and delay effect in the system oscillation.

引文

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