Construction of solutions for the initial value problem of a functional-differential equation of advanced type

被引：0

作者：

Nakai, Eiichi ^{[1
]}

Yoneda, Tsuyoshi ^{[2
]}

机构：

[1] Osaka Kyoiku Univ, Dept Math, Osaka 5828582, Japan

[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538911, Japan

来源：

AEQUATIONES MATHEMATICAE | 2009年 / 77卷 / 03期

基金：

日本学术振兴会;

关键词：

Functional-differential equation; advanced type; Fourier transform; ARGUMENTS;

D O I：

10.1007/s00010-009-2965-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let lambda > 1 and a is an element of R, a not equal 0. We give a method to construct solutions for the initial value problem of the functional-differential equation f'(x) = af(lambda x) for x is an element of R and the initial condition f(0) - 0. Several authors studied relevant equations. Our method is different from all of them and gives numerical data readily. We give graphs of several solutions. We use the Fourier transform mainly to prove the results.

引用

页码：259 / 272

页数：14

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