Fundamental Solutions of Linear Differential Equations in the Sense of Mnemofunctions

Authors: Radyno N.Y.¹; Papanicolaou V.G.²

Source: Journal of Computational Analysis and Applications, Volume 01, Number 2, April 1999 , pp. 163-176(14)

Publisher: Springer

Abstract:

In this paper we discuss the definition and construction of the fundamental solution of a linear differential equation with constant coefficients in the algebra of mnemofunctions. This algebra contains the tempered distributions. We also present some examples including a physical illustration of our results for the equation u = .

Keywords: Linear differential equation; fundamental solution; distribution; mnemofunction

Language: English

Document Type: Research article

Affiliations: 1: Institute of Mathematics, National Academy of Sciences, ul. Surganova 11, 220072 Minsk, Belarus 2: Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67260-0033

Publication date: 1999-04-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Radyno N.Y. ;  Papanicolaou V.G.

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