数学物理学报 ›› 2020, Vol. 40 ›› Issue (3): 784-795.

• 论文 • 上一篇    下一篇

一类非线性脉冲中立抛物型分布参数系统的振动条件

罗李平*(),罗振国(),曾云辉   

  1. 衡阳师范学院数学与统计学院 湖南 衡阳 421002
  • 收稿日期:2019-03-13 出版日期:2020-06-26 发布日期:2020-07-15
  • 通讯作者: 罗李平 E-mail:robert186@163.com
  • 作者简介:罗振国, E-mail: stxyluolp@163.com
  • 基金资助:
    湖南省自然科学基金面上项目(2019JJ40004);湖南省自然科学基金面上项目(2018JJ2006);湖南省教育厅重点项目(17A030);湖南省"双一流"应用特色学科项目(湘教通[2018]469号);湖南省重点实验室项目(2016TP1020)

Oscillation Conditions of Certain Nonlinear Impulsive Neutral Parabolic Distributed Parameter Systems

Liping Luo*(),Zhenguo Luo(),Yunhui Zeng   

  1. College of Mathematics and Statistics, Hengyang Normal University, Hunan Hengyang 421002
  • Received:2019-03-13 Online:2020-06-26 Published:2020-07-15
  • Contact: Liping Luo E-mail:robert186@163.com
  • Supported by:
    the NSF of Hunan Province(2019JJ40004);the NSF of Hunan Province(2018JJ2006);the Key Project of Hunan Provincial Education Department(17A030);the "Double First-Class" Applied Characteristic Discipline in Hunan Province(湘教通[2018]469号);the Project of Hunan Provincial Key Laboratory(2016TP1020)

摘要:

研究一类带中立项及高阶Laplace算子的非线性脉冲抛物型分布参数系统在第一类边值条件下的振动性问题,利用处理中立项及高阶Laplace算子的技巧和积分平均方法,建立了该类系统所有解振动的若干新的充分性条件.所得结论充分表明系统振动是由脉冲量和时滞量引起的.

关键词: 振动性, 抛物型分布参数系统, 脉冲, 非线性中立项, 高阶Laplace算子

Abstract:

The oscillation problems for a class of nonlinear impulse parabolic distributed parameter systems with neutral term and higher order Laplace operator are investigated under first boundary value condition. By using the technique of treating neutral term and higher order Laplace operator and integral averaging method, some new sufficient criteria are established for the oscillation of all solutions of such systems. The conclusions fully indicate that the system oscillation is caused by impulse and delay.

Key words: Oscillation, Parabolic distributed parameter system, Impulse, Nonlinear neutral term, Higher order Laplace operator

中图分类号: 

  • O175.26