Abstract

The main theme in this paper is an initial value problem containing a dynamic version of the transport equation. via this problem, the delay (or shift) of a function defined on a time scale is introduced, and the delay in turn is used to introduce the convolution of two functions defined on the time scale. In this paper, we give some elementary properties of the delay and of the convolution and we also prove the convolution theorem. Our investigation contains a study of the initial value problem under consideration as well as some results about power series on time scales. As an extensive example, we consider the q-difference equations case.

Department(s)

Mathematics and Statistics

Sponsor(s)

University of Missouri Research Board

Keywords and Phrases

Convolution; Time Scales; Q-Difference; Transport Equation

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2007 Hindawi, All rights reserved.

Full Text Link

Share

 
COinS