摘要
研究了一类带扩散系数的拟线性脉冲时滞抛物型方程组的振动性,利用振动的定义、Green公式和Newmann边值条件将这类脉冲时滞抛物方程组的振动问题转化为脉冲时滞微分不等式正解的不存在性问题,并利用最终正解的定义和脉冲时滞微分不等式,获得了该类方程组所有解(强)振动的充分条件.
The oscillation and strong oscillation of the systems of a class of impulsive delay parabolic equations with quasilinear diffusion coefficient were studied. By using the oscillatory definition, Green＇s formula and Newmann boundary condition, the oscillatory problem of solution to the systems of impulsive delay parabolic equations was reduced to the nonexistence of position solution of impulsive delay differential inequality, and some sufficient conditions were obtained for the oscillation and strong oscillation of all solutions of such systems through the definition of eventual position solution and delay impulsive neutral differential inequality.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第2期79-82,共4页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(10971230)
关键词
振动性
脉冲
时滞
拟线性扩散系数
抛物型方程组
oscillations
impulse
delay
quasilinear diffusion coefficient
systems of parabolic equations
