Ulam Stability of Operators

Erscheinungsjahr 2018
ISBN: 978-0-12-809829-5
Verlag: Elsevier Science Publishing Co Inc

Buch, Englisch, 236 Seiten, Format (B × H): 233 mm x 190 mm, Gewicht: 508 g

Reihe: Mathematical Analysis and its Applications

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.

Zielgruppe

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.

Autoren/Hrsg.

Brzdek, Janusz

Popa, Dorian

Rasa, Ioan

Xu, Bing

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

Rasa, Ioan
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.

Popa, Dorian
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).

Brzdek, Janusz
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.

Xu, Bing
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.