期刊论文

中文

怀化学院学报

1671-9743

2018

37

5

18-21

10.16074/j.cnki.cn43-1394/z.2018.05.005

本校为第一机构

给出微分方程的 α-正幂解和 α-形式解的概念,并用Weyl型分数阶积分给出形如t2z″(t)-(bt+c)z′(t)+βz(t)=0的复微分方程的一种 α-负幂解形式,进而还得到了这种方程有多项式解的充分必要条件.

In this paper, the concept of form solutions of complex differential equations is presented, and particularly a kind of α-form solution of the differential equation of the form t~2z″（t）-（bt＋c）z′（t）＋βz（t）=0 is obtained by Weyl fractional integral. Further more, the necessary and sufficient conditions of the equation of this form possessin...