Ulam Stability Operators presents a germane and integrated presentation of the linear and nonlinear operators pertinent to Ulam stability. This includes in particular information on the stability of functional equations in single variable research, various orders of difference equations, and integral equations of the Volterra and Fredholm types. It collects and compares suitable results from both established and very recently developed literature. It unifies, complements, and updates that information. Whenever it is suitable, open problems are stated and solutions proposed. Years of collaboration between the authors mean that this work is unusually well-presented, integrated and self-contained which allows readers of many disciplinary stripes to establish expert knowledge without extensive study of other booksThe work presents complex math with simple and clear language, and can be studied in many parts by people without a strong mathematical backgroundCompares and complements results obtained so far and states numerous open problems, which aim to allow many young researchers to start their investigations in the area very quickly INDICE: 1. Introduction to Ulam stability theory 2. Auxiliary information and results 3. Ulam stability for linear operators on normed spaces 4. Ulam stability of differential operators 5. Ulam stability of integral operators 6. Ulam stability of operators of polynomial form 7. Ulam stability and fixed point theory 8. Non-stability theory
- ISBN: 978-0-12-809829-5
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 400
- Fecha Publicación: 01/01/2018
- Nº Volúmenes: 1
- Idioma: Inglés