Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green's Function

被引：4

作者：

Morita, Tohru ^{[1
]}

Sato, Ken-ichi ^{[2
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808577, Japan

[2] Nihon Univ, Coll Engn, Koriyama, Fukushima 9638642, Japan

来源：

MATHEMATICS | 2017年 / 5卷 / 04期

关键词：

Green's function; distribution theory; particular solution; Kummer's differential equation; hypergeometric differential equation; Laplace transform; FRACTIONAL DERIVATIVES;

D O I：

10.3390/math5040062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function are obtained in the framework of distribution theory. In particular, discussions are given on Kummer's and the hypergeometric differential equation. Related discussions are given on the particular solution of differential equations with constant coefficients, by the Laplace transform.

引用

页数：24

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