Bohner, Martin; Guseinov, Gusein Sh. Multiple integration on time scales. (English) Zbl 1095.26006 Dyn. Syst. Appl. 14, No. 3-4, 579-606 (2005). This article deals with Darboux/Riemann integration theory on products of (two) time scales, a times scale being a closed subset or the reals. The foundation of the theory follows the classical theory. After defining the basic notion of an integral and proving results surrounding mean value properties a theory of Jordan-\(\Delta\)-measurable sets is established. Necessary generalizations are mainly technical. Coordinate transformations are not considered. Reviewer: Stefan Hilger (Eichstätt) Cited in 2 ReviewsCited in 46 Documents MSC: 26B15 Integration of real functions of several variables: length, area, volume 39A10 Additive difference equations Keywords:time scales; integration PDFBibTeX XMLCite \textit{M. Bohner} and \textit{G. Sh. Guseinov}, Dyn. Syst. Appl. 14, No. 3--4, 579--606 (2005; Zbl 1095.26006)