Description
Ulam Stability of Operators
Mathematical Analysis and its Applications Series
Authors: Brzdek Janusz, Popa Dorian, Rasa Ioan, Xu Bing
Language: EnglishSubjects for Ulam Stability of Operators:
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Description
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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
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.
- 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