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English
Academic Press Inc
04 January 2018
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.

By:   , , , , , , , , , , , , , , , , ,
Imprint:   Academic Press Inc
Country of Publication:   United States
Dimensions:   Height: 234mm,  Width: 191mm, 
Weight:   450g
ISBN:   9780128098295
ISBN 10:   0128098295
Series:   Mathematical Analysis and its Applications
Pages:   236
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active
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

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.

Reviews for Ulam Stability of Operators

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