一类函数微分方程解析解的存在性和唯一性

Existence and uniqueness of anaiytic solution of the functional differential equation

在本文中,我们研究了函数微分方程xf'(x)-(sum(a_mα_mxf'(α_mx)) from m=1 to S)-sum(b_nf(β_nx)h(x)) from n=1 to T的解析解的存在唯一性。给出了方程(1)解析解的存在唯一性定理。

In this paper, We discuss existence and unigueness of analytic solution of the functional differential eguation xf'(x)-(sum(a_mα_mxf'(α_mx)) from m=1 to S)-sum(b_nf(β_nx)h(x)) from n=1 to T We give unigue existence theorem of analytic solution of (1).