期刊论文

Forced Oscillation for Impulsive Parabolic Equations with Nonlinear Diffusion Term

中文

数学的实践与认识

1000-0984

2016

46

12

230-234

(湘教发[2011]76号):湖南省“十二五”重点建设学科资助项目 (13JJ4098):湖南省自然科学基金青年项目 (湘教通[2015]361):湖南省普通高校青年骨干教师培养对象项目

本校为第一机构

研究一类具非线性扩散项的脉冲抛物型方程解的强迫振动性问题,借助平均技巧和脉冲微分不等式,建立了该类方程在Dirichlet边值条件下所有解强迫振动的若干新的充分判据.结论充分表明振动是由脉冲效应引起的.

The forced oscillation problems of solutions for a class of impulsive parabolic equations with nonlinear diffusion term is investigated. By employing averaging technique and impulsive delay differential inequality, some new sufficient criteria are established for forced oscillation of all solutions of the equations under Dirichlet＇s boundary value condition. The results fully indicate ...