Ulam Stability of Operators

ISBN-13: 9780128098295 / Angielski / Miękka / 2018 / 236 str.

Janusz Brzdek; Dorian Popa; Ioan Rasa

Opis

Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.

• Allows readers to establish expert knowledge without extensive study of other books.
• Presents complex math in simple and clear language.
• Compares, generalizes and complements key findings.
• Provides numerous open problems.

Recenzje

"Therefore, as the authors write in the Preface of this book, the aim of this book is not merely to present a survey of research papers dealing with the stability theory of functional equations, but rather to propose a somewhat new systematic approach to investigating Ulam stability. Some open problems are also stated, suggesting further possible exploration in the corresponding areas.

This book consists of six chapters. Each of them has a short and informative abstract as well as a list of references." --Zentralblatt Math

Spis treści

1. Introduction to Ulam stability theory2. Operators in normed spaces3. Ulam stability of differential operators4. Best constant in Ulam stability5. Ulam stability of operators of polynomial form6. Non-stability theory