期刊论文

Oscillation Criteria for Nonlinear Hyperbolic Equations Based on Influence of Impulse and Delay

中文

生物数学学报

1001-9626

2013

28

3

440-446

湖南省自然科学-衡阳联合基金资助项目（11JJ9002） 湖南省“十二五”规划重点学科“运筹学与控制论”项目资助（湘教发[2011]76号）

本校为第一机构

研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏微分方程的振动性,利用特征函数法和一阶脉冲时滞微分不等式,获得了该类方程在Robin边值条件下所有解振动的若干充分性判据,所得结果推广和包含了最新文献中的结果.

Oscillatory properties of a class of nonlinear impulsive delay hyperbolic partial differential equations with higher order Laplace operator is studied.By using the eigenvalue function method and first order impulsive delay differential inequalities,some sufficient criteria for the oscillation of all solutions of the equations are obtained under Robin boundary value condition.The results generalize ...