Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales

Chao Wang, Ravi P. Agarwal (Autoren)

Buch | Hardcover

XII, 185 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-11235-5 (ISBN)

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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. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.

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 general inequalities.

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)

Erscheinungsdatum	22.09.2022
Reihe/Serie	Synthesis Lectures on Mathematics & Statistics
Zusatzinfo	XII, 185 p. 5 illus., 4 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	505 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Maschinenbau
Schlagworte	Almost Periodic Fuzzy Vector-valued Functions • Calculus • Fuzzy Multidimensional Dynamic Systems • Fuzzy Shift Almost Periodic Functions • Fuzzy Vector-valued Functions • Hybrid Fuzzy Dynamic Systems • Time Scales
ISBN-10	3-031-11235-0 / 3031112350
ISBN-13	978-3-031-11235-5 / 9783031112355
Zustand	Neuware