Chao Wang

Theory of Translation Closedness for Time Scales

With Applications in Translation Functions and Dynamic Equations

Ebook (PDF Format)

This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various ty… Mehr

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Produktdetails

Weitere Autoren: Agarwal, Ravi P. / O' Regan, Donal / Sakthivel, Rathinasamy

ISBN: 978-3-030-38644-3
EAN: 9783030386443
Produktnummer: 34001985
Verlag: Springer-Verlag GmbH
Sprache: Englisch
Erscheinungsjahr: 2020
Seitenangabe: 577 S.
Plattform: PDF
Masse: 6'008 KB
Abbildungen: 9 schwarz-weiße und 8 farbige Abbildungen, 8 farbige Tabellen, Bibliographie

Über den Autor

Chao Wang is an associate professor and doctor in mathematics and teaches at the department of mathematics in Yunnan University in China. His research focuses on the fields of nonlinear dynamic systems, control theory, fuzzy dynamic equations, fractional differential equations, bifurcation theory, nonlinear analysis and numerical modeling.Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA. He is also a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA. He completed his PhD at the Indian Institute of Technology, India. Dr. Agarwal has authored, co-authored or co-edited over 60 books, including An Introduction to Ordinary Differential Equations (978-9-387-71275-8) and Ordinary and Partial Differential Equations (978-0-387-79145-6), both co-authored by Donal O`Regan and published by Springer.Donal O'Regan is a Professor at the School of Mathematics of the National University of Ireland. His research interests are in nonlinear functional analysis. His previous publications with Springer include Constant-Sign Solutions of Systems of Integral Equations (978-3-319-01254-4) and Fixed Point Theory for Lipschitzian-type Mappings with Applications (978-0-387-75817-6), both as a co-author.Rathinasamy Sakthivel is a Professor at the Department of Applied Mathematics, Bharathiar University, India. He completed his Ph.D. at Bharathiar University, India. His research focuses on the fields of systems and control theory, differential and integral equations, fractional differential equations and numerical methods for PDEs. He is an active editorial board member of several journals, including IEEE Access, Journal of the Franklin Institute, Neurocomputing, Journal of Electrical Engineer.