期刊论文

中文

应用数学

1001-9847

2014

27

4

895-898

10.13642/j.cnki.42-1184/o1.2014.04.056

(湘教发[2011]76号):湖南省“十二五”重点建设学科项目资助 (13JJ4098):湖南省自然科学基金青年项目资助

本校为第一机构

本文研究一类带脉冲控制的非线性抛物型方程在第一类边值条件下的振动性问题,通过将多维振动问题化为一维脉冲微分不等式最终正解的存在性问题,获得该类方程一切解u(x,t)振动或者lim_(t→+∞) ∫_Ω u(x,t)dx= 0的若干新的充分性判据.

The oscillation problems of solutions for a class of nonlinear parabolic equations with impulse control is investigated under first boundary value condition.To change the multidimensional oscillation problems into the existence problems of positive solutions of one-dimensional impulsive differential inequalities,some new sufficient criteria are obtained,which insure that any solution u（x,t）of this equation ...