一类高阶泛函微分方程的强迫振动性

Forced oscillation of a class of high order functional differential equations

通过对一类高阶泛函微分方程的强迫振动性的研究,利用积分、上下极限和函数极值的技巧与方法,构造出一个新的函数,获得了该方程解的振动性的一个新的充分条件,改进和推广现有文献[4-6]中的部分结论。

Through studying the forced oscillation for a class of high order functional differential equations, using the methods and techniques of integration,superior limit and inferior limit and functional extremum, constructing a new function, we obtain a new sufficient condition for all its solutions oscillating. The partial results of references [4-6] have been extended and raised.