Kurzweil-stieltjes Integral: Theory And Applications
Seiten
2018
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4641-77-7 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4641-77-7 (ISBN)
The book is primarily devoted to the theory of the Kurzweil-Stieltjes integral and its important applications in functional analysis and the theory of various kinds of generalized differential equations, including the dynamical equations on time scales.
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.
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.
Introduction: Variation and Semi-Variation; Regulated Functions; Riemann-Stieltjes Integrals; Kurzweil-Stieltjes Integral in R; Abstract Kurzweil-Stieltjes Integral:Definition and Basic Properties; Existence; Integration-by-Parts; Saks-Henstock Lemma; Convergence Theorems; Kurzweil-Stieltjes Integral as a Function of the Upper Limit; Kurzweil-Stieltjes Integral and Functional Analysis:General Forms of Continuous Linear Functionals on Some Function Spaces; Multiplication of Distributions; Generalized Ordinary Differential Equations:Linear Equations; Nonlinear Equations; Continuous Dependence of Solutions on a Parameter; Differential Equations with Impulses; Dynamic Equations on Time-Scales; Functional Differential Equations;
| Reihe/Serie | Series In Real Analysis ; 15 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 981-4641-77-4 / 9814641774 |
| ISBN-13 | 978-981-4641-77-7 / 9789814641777 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Festigkeits- und Verformungslehre, Baudynamik, Wärmeübertragung, …
Buch | Hardcover (2025)
De Gruyter Oldenbourg (Verlag)
CHF 125,90
