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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Combined Measure and Shift Invariance Theory of Time Scales and Applications
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Combined Measure and Shift Invariance Theory of Time Scales and Applications
Chao Wang, Ravi P. Agarwal (Broschiert, Englisch)
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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. 106,99 €
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Technische Daten
Erscheinungsdatum
25.09.2023
Sprache
Englisch
EAN
9783031116216
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Developments in Mathematics
Sonderedition
Nein
Autor
Chao Wang, Ravi P. Agarwal
Seitenanzahl
434
Einbandart
Broschiert
Schlagwörter
functional analysis, ordinary differential equations, ODE, measure theory, time scale theory, theory of time scales, shift invariance theory, calculus on time scales, shift functions, dynamic equations, Euclidean spaces, combined measure theory on time scales
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKJ - Differentialrechnung und -gleichungen
PBKL - Integralrechnung und -gleichungen
PBKB - Reelle Analysis, Real-Variablen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Palgrave Macmillan, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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