Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales

Inbunden, Engelska, 2022

Av Chao Wang, Ravi P. Agarwal

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This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory.

Produktinformation

Utgivningsdatum2022-09-21
Mått168 x 240 x 17 mm
Vikt521 g
FormatInbunden
SpråkEngelska
SerieSynthesis Lectures on Mathematics & Statistics
Antal sidor185
FörlagSpringer International Publishing AG
ISBN9783031112355

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Chao Wang, Ph.D., is a Professor in the Department of Mathematics at Yunnan Univer-sity. Dr. Wang has authored the books Theory of Translation Closedness for Time Scales andCombined Measure and Shift Invariance Theory of Time Scales and Applications, both publishedby Springer. His research focuses on the fields of nonlinear dynamic systems, controltheory, fuzzy dynamic equations, fractional differential equations, bifurcation theory,nonlinear analysis, and numerical modeling.Ravi P. Agarwal, Ph.D., is a Professor in the Department of Mathematics at the Texas A&M University-Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973. Dr. Agarwal has authored or co-authored 50 books and 1,750 research articles. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and generalinequalities.

Generalized Hukuhara Difference and Division for Interval and Fuzzy Arithmetic.- An Embedding Theorem and the Multiplication of Fuzzy Vectors.- Calculus of Fuzzy Vector-valued Functions on Time Scales.- Shift Almost Periodic Fuzzy Vector-valued Functions.- Division of Fuzzy Vector-valued Functions Depending on a Determinant Algorithm.- Almost Periodic Generalized Fuzzy Multidimensional Dynamic Equations and Applications.

“This book provides a clear presentation of the almost periodicity of solutions to multidimensional fuzzy dynamic equations and almost periodic fuzzy functions on time scales. … The monograph is well written, and consists of six chapters. … The book is finished by an appendix devoted to almost anti-periodic discrete functions, almost anti-periodic oscillation of general mechanical systems, and almost anti-periodic functions on time scales.” (Michal Veselý, Mathematical Reviews, December, 2023)“The text material of the book is presented in a readable format. The book may be a good reference material for researchers working in the related field.” (Sanket Tikare, zbMATH 1521.34002, 2023)