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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Format: | Article |
Language: | English |
Published: |
Samara State Technical University
2018-03-01
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Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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Online Access: | http://mi.mathnet.ru/eng/vsgtu1569 |