Kurzweil-stieltjes Integral: Theory And Applications

Přední strana obálky
World Scientific, 26. 9. 2018 - Počet stran: 400
The book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It continues the research that was paved out by some of the previous volumes in the Series in Real Analysis. Moreover, it presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way, so that it can be used as a textbook for advanced university or PhD courses covering the theory of integration or differential equations.
 

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Obsah

1 Introduction
1
2 Functions of bounded variation
7
3 Absolutely continuous functions
57
4 Regulated functions
73
5 RiemannStieltjes integral
89
6 KurzweilStieltjes integral
139
7 Generalized linear differential equations
245
8 Miscellaneous additional topics
291
Bibliography
363
Subject index
377
Symbol index
381
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