
Ulam Stability of Operators
Academic Press
Published on 4. January 2018
Book
Paperback/Softback
236 pages
978-0-12-809829-5 (ISBN)
Description
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.
Reviews / Votes
"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
More details
Series
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
College/higher education
Researchers in the theories of functional equations, difference equations, operators, approximation, optimization and fixed point theory. Advanced graduate students may have some interest in the field and PhD students are very likely to buy it personally.
Dimensions
Height: 235 mm
Width: 191 mm
Weight
450 gr
ISBN-13
978-0-12-809829-5 (9780128098295)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Janusz Brzdek | Dorian Popa | Ioan Rasa
Ulam Stability of Operators
E-Book
01/2018
Academic Press
€115.00
Available for download
Persons
Janusz Brzdek has published numerous papers on Ulam's type stability (e.g., of functional, difference, differential and integral equations), its applications and connections to other areas of mathematics. He has been editor of several books and special volumes focused on such subjects. He was the chairman of the organizing and/or scientific committees of several conferences on Ulam's type stability and on functional equations and inequalities. Dorian Popa is the author of numerous papers on Ulam's type stability of functional equations, differential equations, linear differential operators, and positive linear operators in approximation theory. Other papers deal with the connections of Ulam's type stability with some topics of multivalued analysis (e.g., the existence of a selection of a multivalued operator satisfying a functional inclusion associated to a functional equation). Ioan Rasa has published papers on Ulam's type stability of differential operators and several types of positive linear operators arising in approximation theory. He is author/co-author of many papers connecting Ulam's stability with other areas of mathematics (functional analysis, approximation theory, differential equations). Rasa is co-author (with. F. Altomare et al.) of the book Markov Operators, Positive Semigroups and Approximation Processes, de Gruyter, 2014. Bing Xu has published many papers on Ulam's type stability (e.g., of functional, difference, differential and integral equations), its applications and connections to iterative equations and multivalued analysis. Xu is co-author (with W. Zhang et al.) of the book Ordinary Differential Equations, Higher Education Press, 2014.
Author
Department of Mathematics, Pedagogical University, Krakow, Poland
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania
Department of Mathematics, Sichuan University, Chengdu, Sichuan, P.R. China
Content
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