img Leseprobe Leseprobe

Combined Measure and Shift Invariance Theory of Time Scales and Applications

Ravi P. Agarwal, Chao Wang

PDF
ca. 96,29 €
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Osiander Google Books Barnes&Noble bol.com Legimi yourbook.shop Kulturkaufhaus ebooks-center.de
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales.


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.

Weitere Titel von diesem Autor
Cover Optimal Control
Optimal Control
Ravi P. Agarwal
81,18 €
Cover Optimal Control
Optimal Control
Ravi P. Agarwal
56,36 €
Cover Zero
Zero
Ravi P. Agarwal
76,34 €
Weitere Titel in dieser Kategorie
Cover Fluids Under Control
Fluids Under Control
Šárka Nečasová
128,39 €
Cover Fractal Patterns with MATLAB
Fractal Patterns with MATLAB
Komandla Mahipal Reddy
48,14 €

Kundenbewertungen

Schlagwörter

theory of time scales, shift functions, ordinary differential equations, Euclidean spaces, dynamic equations, combined measure theory on time scales, calculus on time scales, time scale theory, shift invariance theory, ODE, measure theory, functional analysis