Monteiro G.A., Slavík A., Tvrdý M. Kurzweil-Stieltjes Integral: Theory And Applications

Singapore: World Scientific Publishing Company, 2018. — 400 p. — (Series in Real Analysis, 15). — ISBN: 9814641774.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.Conventions and notation.Functions of bounded variation.
Absolutely continuous functions.
Regulated functions.
Riemann-Stieltjes integral.
Kurzweil-Stieltjes integral.
Generalized linear differential equations.
Miscellaneous additional topics.Subject index.
Symbol index.True PDF