Finding Laplace transform using difference equations

Volume 23, Issue 1, pp 75--79 http://dx.doi.org/10.22436/jmcs.023.01.08

Publication Date: October 02, 2020 Submission Date: July 22, 2020 Revision Date: September 05, 2020 Accteptance Date: September 15, 2020

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Authors

Rami Al Ahmad - Mathematics Department, Yarmouk University, Irbid 21163, Jordan.

Abstract

In this paper, we extend the properties of forward and backward difference operators to continuous variables. We construct continuous solutions, with jump discontinues resulting from using floor functions, for difference equations. As an application for these properties, we find the inverse Laplace transform of functions which have the form \(\frac{F(s)}{a+be^{ct}}\).

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ISRP Style

Rami Al Ahmad, Finding Laplace transform using difference equations, Journal of Mathematics and Computer Science, 23 (2021), no. 1, 75--79

AMA Style

Ahmad Rami Al, Finding Laplace transform using difference equations. J Math Comput SCI-JM. (2021); 23(1):75--79

Chicago/Turabian Style

Ahmad, Rami Al. "Finding Laplace transform using difference equations." Journal of Mathematics and Computer Science, 23, no. 1 (2021): 75--79

Keywords

Laplace transform
difference operators
difference equations

MSC

44A10
39A70

References

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