Integrable Solutions of Functional Equations

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Integrable Solutions of Functional Equations by : Janusz Matkowski

Download or read book Integrable Solutions of Functional Equations written by Janusz Matkowski and published by . This book was released on 1975 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Functional Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853147
Total Pages : 381 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Functional Equations by : Costas Efthimiou

Download or read book Introduction to Functional Equations written by Costas Efthimiou and published by American Mathematical Soc.. This book was released on 2011-10-13 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Lectures on Functional Equations and Their Applications

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Publisher : Courier Corporation
ISBN 13 : 0486445232
Total Pages : 548 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Lectures on Functional Equations and Their Applications by : J. Aczel

Download or read book Lectures on Functional Equations and Their Applications written by J. Aczel and published by Courier Corporation. This book was released on 2006-02-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.

On Functions and Functional Equations

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Publisher : CRC Press
ISBN 13 : 1000156990
Total Pages : 172 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis On Functions and Functional Equations by : J. Smital

Download or read book On Functions and Functional Equations written by J. Smital and published by CRC Press. This book was released on 2020-08-26 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Equations and How to Solve Them

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Publisher : Springer Science & Business Media
ISBN 13 : 0387489010
Total Pages : 139 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Functional Equations and How to Solve Them by : Christopher G. Small

Download or read book Functional Equations and How to Solve Them written by Christopher G. Small and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic Solutions Of Functional Equations

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Publisher : World Scientific
ISBN 13 : 9814471720
Total Pages : 296 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analytic Solutions Of Functional Equations by : Sui Sun Cheng

Download or read book Analytic Solutions Of Functional Equations written by Sui Sun Cheng and published by World Scientific. This book was released on 2008-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Iterative Functional Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521355612
Total Pages : 580 pages
Book Rating : 4.3/5 (556 download)

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Book Synopsis Iterative Functional Equations by : Marek Kuczma

Download or read book Iterative Functional Equations written by Marek Kuczma and published by Cambridge University Press. This book was released on 1990-07-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Volterra Integral and Functional Equations

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Publisher : Cambridge University Press
ISBN 13 : 0521372895
Total Pages : 727 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Volterra Integral and Functional Equations by : G. Gripenberg

Download or read book Volterra Integral and Functional Equations written by G. Gripenberg and published by Cambridge University Press. This book was released on 1990 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at the theories of Volterra integral and functional equations.

Functional Equations and Modelling in Science and Engineering

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Publisher : CRC Press
ISBN 13 : 9780824787172
Total Pages : 354 pages
Book Rating : 4.7/5 (871 download)

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Book Synopsis Functional Equations and Modelling in Science and Engineering by : Enrique Castillo

Download or read book Functional Equations and Modelling in Science and Engineering written by Enrique Castillo and published by CRC Press. This book was released on 1992-05-27 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides engineers and applied scientists with some selected results of functional equations and their applications, with the intention of changing the way they think about mathematical modelling. Many of the proofs are simplified or omitted, so as not to bore or confuse engineers. Functional equati

Functional Equations and Inequalities with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387894926
Total Pages : 817 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Functional Equations and Inequalities with Applications by : Palaniappan Kannappan

Download or read book Functional Equations and Inequalities with Applications written by Palaniappan Kannappan and published by Springer Science & Business Media. This book was released on 2009-06-10 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.

Entire Solutions of the Functional Equation from Percus-Yevick and Gel'fand-Levitan Integral Equations

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ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Entire Solutions of the Functional Equation from Percus-Yevick and Gel'fand-Levitan Integral Equations by :

Download or read book Entire Solutions of the Functional Equation from Percus-Yevick and Gel'fand-Levitan Integral Equations written by and published by . This book was released on 1975 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations and Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642110045
Total Pages : 433 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Functional Equations and Inequalities by : B. Forte

Download or read book Functional Equations and Inequalities written by B. Forte and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.

Regularity Properties of Functional Equations in Several Variables

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Publisher : Springer Science & Business Media
ISBN 13 : 038724414X
Total Pages : 367 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Regularity Properties of Functional Equations in Several Variables by : Antal Járai

Download or read book Regularity Properties of Functional Equations in Several Variables written by Antal Járai and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.

Recent Advances in Integral Equations

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Publisher : BoD – Books on Demand
ISBN 13 : 183880658X
Total Pages : 102 pages
Book Rating : 4.8/5 (388 download)

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Book Synopsis Recent Advances in Integral Equations by : Francisco Bulnes

Download or read book Recent Advances in Integral Equations written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2019-07-24 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral equations are functional equations in which an unknown function appears under an integral sign. This can involve aspects of function theory and their integral transforms when the unknown function appears with a functional non-degenerated kernel under the integral sign. The close relation between differential and integral equations does that in some functional analysis, and function theory problems may be formulated either way. This book establishes the fundamentals of integral equations and considers some deep research aspects on integral equations of first and second kind, operator theory applied to integral equations, methods to solve some nonlinear integral equations, and singular integral equations, among other things. This is the first volume on this theme, hoping that other volumes of this important functional analysis theme and operator theory to formal functional equations will be realized in the future.

Functional Equations in Applied Sciences

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Publisher : Elsevier
ISBN 13 : 0080477917
Total Pages : 410 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Functional Equations in Applied Sciences by : Enrique Castillo

Download or read book Functional Equations in Applied Sciences written by Enrique Castillo and published by Elsevier. This book was released on 2004-11-04 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved. A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new problems in terms of functional equations or systems. An interesting feature of the book is that it deals with functional networks, a powerful generalization of neural networks that allows solving many practical problems. The second part of the book, Chapters 9 to 13, is devoted to the applications of this important paradigm. The book contains many examples and end of chapter exercises, that facilitates the understanding of the concepts and applications. · A general methodology for solving functional equations is provided in Chapter 2. · It deals with functional networks, a powerful generalization of neural networks. · Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, illustrate the concept of functional equation. · Functional equations are presented as a powerful alternative to differential equations. · The book contains end of chapter exercises.

Functional Equations And Inequalities: Solutions And Stability Results

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813147628
Total Pages : 397 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Functional Equations And Inequalities: Solutions And Stability Results by : John Michael Rassias

Download or read book Functional Equations And Inequalities: Solutions And Stability Results written by John Michael Rassias and published by World Scientific Publishing Company. This book was released on 2017-03-20 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations.

Functional Equations in Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461400554
Total Pages : 744 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Functional Equations in Mathematical Analysis by : Themistocles M. Rassias

Download or read book Functional Equations in Mathematical Analysis written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.