@inbook{ea44dfbdf33b417aae69edb3542b84e0,
title = "On some functional equations",
abstract = "This chapter consists of three parts. In the first part we consider so-called Adomian{\textquoteright}s polynomials and present the proof of the convergence of the sequence of such polynomials to the solution of the equation. The second part is devoted to present several approximation methods for finding solutions of so-called Kordylewski{\textendash} Kuczma functional equation. Finally, in the last one we present a stability result in the sense of Ulam{\textendash}Hyers{\textendash}Rassias for generalized quadratic functional equation on topological spaces.",
keywords = "Adomian{\textquoteright}s polynomials, Approximate solutions of functional equations, Convergence of adomian{\textquoteright}s iterations, Decomposition method, Generalized quadratic functional equation, Stability",
author = "Marcin Adam and Stefan Czerwik and Krzysztof Kr{\'o}l",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media, LLC 2014.",
year = "2014",
doi = "10.1007/978-1-4939-1286-5\_1",
language = "English",
series = "Springer Optimization and Its Applications",
publisher = "Springer International Publishing",
pages = "1--35",
booktitle = "Springer Optimization and Its Applications",
address = "Switzerland",
}