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Topics In Functional Equations


Topics In Functional Equations
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Topics In Functional Equations


Topics In Functional Equations
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Author : Titu Andreescu
language : en
Publisher:
Release Date : 2020-01-15

Topics In Functional Equations written by Titu Andreescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with categories.




Functional Equations And How To Solve Them


Functional Equations And How To Solve Them
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Author : Christopher G. Small
language : en
Publisher: Springer
Release Date : 2007-08-08

Functional Equations And How To Solve Them written by Christopher G. Small and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-08 with Mathematics categories.


Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.



Stability Of Functional Equations In Several Variables


Stability Of Functional Equations In Several Variables
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Author : D.H. Hyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stability Of Functional Equations In Several Variables written by D.H. Hyers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.



Short Course On Functional Equations


Short Course On Functional Equations
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Author : J. Aczél
language : en
Publisher: Springer Science & Business Media
Release Date : 1987

Short Course On Functional Equations written by J. Aczél and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Business & Economics categories.


Review(s)'... this book is not only an impressive example how mathematics can be applied to problems arising in the social and behavioral sciences, but also on outstanding course on functional equations. This course is short, as the title says, but leads astonishingly far, since the material is presented very economically.I am convinced that every reader will enjoy this book greatly.'Zeischrift f]r Operations Research, June 1989.



Iterative Functional Equations


Iterative Functional Equations
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Author : Marek Kuczma
language : en
Publisher: Cambridge University Press
Release Date : 1990-07-27

Iterative Functional Equations written by Marek Kuczma and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-27 with Mathematics categories.


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.



On The Functional Equations Satisfied By Eisenstein Series


On The Functional Equations Satisfied By Eisenstein Series
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Author : Robert P. Langlands
language : en
Publisher: Springer
Release Date : 2006-11-14

On The Functional Equations Satisfied By Eisenstein Series written by Robert P. Langlands and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Handbook Of Functional Equations


Handbook Of Functional Equations
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2014-11-18

Handbook Of Functional Equations written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-18 with Mathematics categories.


As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.



On Applications And Theory Of Functional Equations


On Applications And Theory Of Functional Equations
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Author : J. Aczél
language : en
Publisher:
Release Date : 1969

On Applications And Theory Of Functional Equations written by J. Aczél and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.




On Functions And Functional Equations


On Functions And Functional Equations
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Author : J. Smital
language : en
Publisher: CRC Press
Release Date : 2020-08-26

On Functions And Functional Equations written by J. Smital and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.


On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.



Developments In Functional Equations And Related Topics


Developments In Functional Equations And Related Topics
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Author : Janusz Brzdęk
language : en
Publisher: Springer
Release Date : 2017-08-14

Developments In Functional Equations And Related Topics written by Janusz Brzdęk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-14 with Mathematics categories.


This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability theory Stochastic convex ordering Dhombres functional equation Nonstandard analysis and Ulam stability This book is dedicated in memory of Staniłsaw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities.