Ulam Stability of Operators

An integrated and self-contained portrait of the area of Ulam stability relevant to both linear and nonlinear operator research

Janusz Brzdek (Author), Dorian Popa (Author), Ioan Rasa (Author), Bing Xu (Author)

9780128098295, Elsevier Science

Paperback, published 4 January 2018

236 pages
23.4 x 19 x 1.6 cm, 0.45 kg

"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.

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.

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

Subject Areas: Applied mathematics [PBW]