期刊论文

中文

应用数学学报

0254-3079

2016

39

1

21-30

湖南省“十二五”重点建设学科项目（湘教发[2011]76号） 湖南省普通高校青年骨干教师培养对象项目（湘教通[2015]361号）资助.

本校为第一机构

研究一类具脉冲扰动和时滞效应的拟线性抛物系统的(强)振动性问题,利用新的处理拟线性扩散项的技巧和脉冲时滞微分不等式,建立了该类系统在Neumann边值条件下所有解(强)振动的若干新的充分条件.所得结果充分表明系统振动是由脉冲扰动和时滞效应引起的.

The (strong) oscillation problems for a class of quasilinear parabolic systems with impulse perturbation and delay effect are investigated. By using a new technique of treating quasilinear diffusion term and impulsive delay differential inequalities, some new sufficient conditions are established for the (strong) oscillation of all solutions of such systems under Neumann boundary value condition. The obtained results fully indicate that the oscillations of the ...