一类脉冲时滞抛物方程组边值问题的强迫振动性

Forced oscillation for boundary value problem of a class of impulsive delay parabolic differential system

针对垂直相加法讨论泛函偏微分方程组的强迫振动性的不足,直接利用振动的定义、Green公式、以及Robin边界条件把具强迫项的脉冲时滞抛物型方程组的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用最终正解的定义和脉冲微分不等式得到判别这类边值问题所有解振动或强振动的若干充分条件.最后举例说明结果的有效性.

Aim at the shortage of vertically additive method in discussion of oscillation of solutions of functional differential equations, by using the oscillatory definition, Green＇s formula and boundary condition of Robin the oscillatory problem of solution to certain impulsive delay parabolic differential system with a forcing term is reduced to the problem of which impulsive delay differential inequality hasn＇t eventually positive solution. Furthermore, some sufficient conditions for oscillation or strong oscillation of their solutions subject to boundary condition of Robin are obtained by using the definition of eventually positive solution, impulsive delay differential inequality. These results are illustrated by the examples.