Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function
type: Item
instance of: scholarly article
title: Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function
zbMATH Open document ID: 1393.34006
author: Tohru Morita
author: Ken-ichi Sato
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 34B27
zbMATH DE Number: 6898691
zbMATH Keywords: Green's function
zbMATH Keywords: distribution theory
zbMATH Keywords: particular solution
zbMATH Keywords: Kummer's differential equation
zbMATH Keywords: hypergeometric differential equation
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
full work available at URL: math5040062
OpenAlex ID: W2767219460
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DOI: 10.3390/MATH5040062
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description: scientific article; zbMATH DE number 6898691