SET DYNAMIC EQUATIONS ON TIME SCALES (eBook)

A Brief Introduction with Applications

Shihuang Hong, Sanket Tikare (Autoren)

eBook Download: EPUB

2025
268 Seiten
World Scientific Publishing Company (Verlag)
978-981-12-9642-0 (ISBN)

Infos

The process of authoring this book is inspired by the recent increased activity of research on dynamic equations on time scales and other closely related areas. This monograph is the first published book that attempts to provide a comprehensive view of the theory and applications of set dynamic equations on time scales. The main focus of the book is the qualitative theory of set dynamic equations and their applications to fuzzy dynamic equations. The key topics include the solvability of set dynamic equations, stability of set dynamic equations, and applications to certain types of fuzzy dynamic equations.

There are five chapters in the book, through which the authors examine a wide scope of the concept of set dynamic equations and their applications. Each chapter focuses on theory and proofs to enrich the reader's understanding of the topic.

This book will be particularly useful to those experts who work in applied analysis, in general. It will also be a good reference for computer scientists since it covers fuzzy dynamic equations. Researchers and graduate students at various levels interested in learning about set dynamic equations and related fields will find this text a valuable resource of both introductory and advanced material.

Contents:

• Essentials of Time Scales Calculus
• Set Functional Calculus
• Solvability of Set Dynamic Equations
• Stability of Set Dynamic Equations
• Applications to Fuzzy Dynamic Equations

Readership: The monograph can be used as a reference book for advanced undergraduate and graduate students, professors, and researchers in the field of time scales theory and related areas. It can also be used as a textbook for a 'Special Topics' graduate course.

Shihuang Hong is a Professor of Mathematics at the Department of Mathematics at School of Science, Hangzhou Dianzi University, Hangzhou, P R China and School of Science, Kaili University, Kaili, Guizhou, P R China. His main research interests are fixed point theory, ordinary differential equations, set-valued dynamic equations, and Nash equilibrium theory. He published more than 100 academic research papers and supervised more than 30 students for the master/doctoral degree. He received several research projects from the National Natural Science Foundation of China and Provincial Natural Foundation of China. He won the Hainan Province Science and Technology Award.Sanket Tikare is an Assistant Professor in the Department of Mathematics at Ramniranjan Jhunjhunwala College, which is an empowered autonomous college affiliated with the University of Mumbai, India. He did his MSc and PhD in mathematics both from Shivaji University, India in the years 2008 and 2012, respectively. He specializes in Applied Analysis. His research area of interest includes differential equations, difference equations, quantum difference equations, dynamic equations on time scales, impulsive systems, and equations with delays.

Produkt-Details

• Erscheint lt. Verlag: 24.1.2025
• Reihe/Serie: Trends in Abstract and Applied Analysis
• Reihe/Serie: TRENDS IN ABSTRACT AND APPLIED ANALYSIS
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 981-12-9642-1 / 9811296421
• ISBN-13: 978-981-12-9642-0 / 9789811296420