一类具有时滞的脉冲偏微分方程的强迫振动性

Forced Oscillation for a Class of Impulsive Partial Differential Equations with Delay

研究一类脉冲时滞含高阶Laplace算子的偏微分方程解的强迫振动性,应用Green定理将问题转化为某一类非齐次脉冲时滞微分不等式的一维问题,得到该方程在给定边值条件下强迫振动的一些新的判别准则。

Forced oscillation for a class of impulsive delay partial differential equations with high order Laplace operator is studied. To reduce the problem to one dimensional problems for certain first order nonhomogeneous impulsive differential equations by applying Green theorem, some new forced oscillations criterion of the equation for given boundary condition are obtained.