Construction of Mikusiński operational calculus based on the convolution algebra of distributions. Methods for solving mathematical physics problems

A new justification is given for the Mikusinsky operator calculus entirely based on the convolution algebra of generalized functions $D'_{+}$ and $D'_{-}$, as applied to the solution of linear partial differential equations with constant coefficients in the region $(x;t)\in \mathbb R (\ma...

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Bibliographic Details
Main Author: Iosif L. Kogan
Format: Article
Language:English
Published: Samara State Technical University 2018-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://mi.mathnet.ru/eng/vsgtu1569