Abstract
In our paper we formulate and prove the first and second translation theorem for time scale Laplace transform, for several elementary functions. We use the definition of Laplace transform on arbitrary time scales as introduced by M. Bohner and A. Peterson. For time scale taken to be the set of real numbers, the classical definition of Laplace transform is obtained. However, taking the set of integers for time scale, the modification of translation theorems for $\mathcal{Z}$-transform is obtained. This approach applies to all time scales and represents unification and extension of classical Laplace and $\mathcal{Z}$-transform, for specified functions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
