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Ulam Stability of Operators

  • 1st Edition - January 4, 2018
  • Latest edition
  • Authors: Janusz Brzdek, Dorian Popa, Ioan Rasa, Bing Xu
  • Language: English

Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, differenc… Read more

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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.

Key features

  • 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

Readership

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

Table of contents

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

Review quotes

"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

Product details

  • Edition: 1
  • Latest edition
  • Published: January 4, 2018
  • Language: English

About the authors

JB

Janusz Brzdek

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.
Affiliations and expertise
Department of Mathematics, Pedagogical University, Krakow, Poland

DP

Dorian Popa

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).
Affiliations and expertise
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

IR

Ioan Rasa

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). Raşa is co-author (with. F. Altomare et al.) of the book Markov Operators, Positive Semigroups and Approximation Processes, de Gruyter, 2014.
Affiliations and expertise
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

BX

Bing Xu

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.
Affiliations and expertise
Department of Mathematics, Sichuan University, Chengdu, Sichuan, P.R. China

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