带滞量微分方程解的表达式的一个推广

Generalizations of the Expressions of Solution of Some Differential Equations with Delay

利用复函数方法讨论了方程a_nx^(n)(t)+a_(n-1)x^(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t^k+c_(k-1)t^(k-1)+…+c_1t+c_0)e^(αt)cosβt a_nx^(n)(t)+a_(n-1)x^(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t^k+c_(k-1)t^(k-1)+…+c_1t+c_0)e^(αt)sinβt解的一些表达式,获得了更一般的结果。

By using the method of complex function, the expression of solution of some differential equations is discussed.anX^（n）（t）＋an-1x^（n-1）（t）＋…＋a0x（t）＋bx（t-τ）=（t^k＋Ck-1 t^（k-1）＋…C1 t＋c0）e^at cos βt anx（n）（t）＋an-1x^（n-1）（t）＋…＋a0x（t）＋bx（t-τ）=（t^k＋ck-1t^（k-1）＋…＋c1t＋c0）e^et sinβt And some general results are abstained, which are generalized previously known results in the literature.