Set Dynamic Equations on Time Scales

A Brief Introduction with Applications

By: Shihuang Hong, Sanket Tikare

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eBook | 24 January 2025

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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.