Combined Measure and Shift Invariance Theory of Time Scales and Applications
Springer
ISBN 978-3-031-11621-6
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Softcover
2023
2 s/w-Abbildungen.
In englischer Sprache
Umfang: xvi, 434 S.
Format (B x L): 15,5 x 23,5 cm
Gewicht: 688
Verlag: Springer
ISBN: 978-3-031-11621-6
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Developments in Mathematics
Produktbeschreibung
First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains.
As a new and exciting type of mathematics—and more comprehensive and versatile than the traditional theories of differential and difference equations—, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences.
Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
Autorinnen und Autoren
Kundeninformationen
Develops a theory of combined measure and shift-invariance of time scales Illustrates with relevant applications to shift functions and dynamic equations Emphasizes the power of this theory for accurate mathematical modeling in applied sciences
Produktsicherheit
Hersteller
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com