Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (3): 784-795.

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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)

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

CLC Number: 

  • O175.26
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