Iterative Functional Equations
Iterative Functional Equations by Marek Kuczma, published by Cambridge University Press on July 31, 2008, is a comprehensive exploration of the modern theory surrounding iterative functional equations. This 576-page volume presents a cohesive account of the subject, integrating results that have primarily appeared in research literature. The book serves as a resource for those engaged in functional equations and related fields such as dynamical systems and chaos, emphasizing fundamental concepts like the existence and uniqueness of solutions.
Readers will find a thorough examination of recent developments and general results in the field. The text covers a range of topics, including applications to branching processes, differential equations, and ergodic theory, while also addressing systems of linear and nonlinear equations. Additionally, it delves into various function classes, conjugate and commutable functions, linearization, and special functional equations. This edition is presented in English and is designed for those seeking an in-depth understanding of the mathematical principles at play in iterative functional equations.
Official synopsis Publisher
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.
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