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Article Citation - WoS: 47Citation - Scopus: 63The Convolution on Time Scales(Hindawi Publishing Corporation, 2007) Bohner, Martin; Guseinov, Gusein Sh.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. Copyright (c) 2007 M. Bohner and G. Sh. Guseinov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Article Citation - WoS: 7Citation - Scopus: 8Surface Areas and Surface Integrals on Time Scales(Dynamic Publishers, inc, 2010) Bohner, Martin; Guseinov, Gusein Sh; MathematicsWe study surfaces parametrized by time scale parameters, obtain an integral fomula for computing the area of time scale surfaces, introduce delta integrals over time scale surfaces, and give sufficient conditions that ensure existence of these integralsArticle Citation - WoS: 15Multiple Lebesgue Integration on Time Scales(Hindawi Publishing Corporation, 2006) Bohner, Martin; Guseinov, Gusein Sh.We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated. Copyright (c) 2006 M. Bohner and G. Sh. Guseinov.
