一类非线性脉冲时滞抛物方程的振动性定理  

Oscillation theorem of a class of nonlinear impulsive delay parabolic equations

作　　者：罗李平[1] 欧阳自根[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]南华大学数学系,湖南衡阳421001

出　　处：《哈尔滨工业大学学报》2009年第3期202-204,共3页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(10471086);湖南省教育厅科研计划资助项目(07C164)

摘　　要：研究一类非线性脉冲时滞抛物方程的振动性,借助于一阶脉冲微分不等式,获得了该类方程在D irichlet边界条件下所有解振动的若干新的充分判据.结果反映了脉冲和时滞在振动中的影响作用.The oscillation of solutions for a class of nonlinear impulsive delay parabolic equations is studied and some new sufficient criteria for oscillation of all solutions of the equations are obtained under Dirichlet boundary value condition by using the first-order impulsive differential inequalities. The results reflect the influence of impulse and delay in oscillation.

关 键 词：脉冲 非线性 时滞 抛物型方程 振动性 

分 类 号：O175.26[理学—数学]