Results 141 to 148 of about 14,555 (148)

Two-sided Laplace transform over Cayley-Dickson algebras and its applications

open access: closedJournal of Mathematical Sciences, 2008
The one- and the two-sided Laplace transforms are generalized to functions \(\mathbb R\to{\mathcal A}_r\), where \({\mathcal A}_r\) is the Cayley-Dickson algebra (which for \(r=2\) is the quaternion division ring). The usual properties of these transforms and the corresponding inverse transforms are transferred to this case.
S. V. Lüdkovsky
openaire   +3 more sources

A proposal for two-sided Laplace transforms and its application to electronic circuits

open access: closedApplied Mathematics and Computation, 1999
It is unfortunate that the authors seem unaware of the book by \textit{B. van der Pol} and \textit{H. Bremmer} [Operational calculus based on the two-sided Laplace integral (1950; Zbl 0040.20403)] since it contains extensive theory, numerous applications (especially to electric circuit theory), and a lengthy table of transforms.
Matsuzuka, Isamu   +2 more
openaire   +2 more sources

Numerical inversion of mellin and two-sided laplace transforms

open access: closedJournal of Computational Physics, 1978
Dishon, Menachem, Weiss, George H.
openaire   +3 more sources

Study of a Class of High-Order Equations on $$\boldsymbol{\mathbb{R}}$$ by Two-Sided Laplace Transform

open access: closedLobachevskii Journal of Mathematics
V. E. Fedorov   +2 more
openaire   +2 more sources

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