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Riemann-Stieltjes Integration on Time Scales

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    207586

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    Svetlin G. Georgiev, Sorbonne University, Paris, France

    S. Hilger introduced in 1990 the calculus on time scales or on measure chains.This kind of calculus showed the possibility to manage dynamic equations considering a very wide range of time scales transforming in this way the differential and difference calculus into special cases of a more general one. Examples of time scales are the real numbers, the integers, the sets having cluster points or even such as the Cantor set.

    In this cycle we study the process of Riemann-Stieltjes delta integration on time scales. Such integrals find increasing applications in the study of dynamic equations on time scales, enabling the study more general solutions than those treated before.

    This page titled Riemann-Stieltjes Integration on Time Scales is shared under a Public Domain license and was authored, remixed, and/or curated by Svetlin G. Georgiev.