A Short Course on Functional Equations

Download A Short Course on Functional Equations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400937490
Total Pages : 175 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!


Book Synopsis A Short Course on Functional Equations by : J. Aczél

Download or read book A Short Course on Functional Equations written by J. Aczél and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in another section, the section number is added, e.g. (2.10) or Theorem 1.2. References are quoted by the last names of the authors and the last two digits of the year, e.g. Daroczy-Losonczi [671. 1 1. An aggregation theorem for allocation problems. Cauchy equation for single-and multiplace functions. Two extension theorems.

Functional Equations and How to Solve Them

Download Functional Equations and How to Solve Them PDF Online Free

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

DOWNLOAD NOW!


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.

Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

Download Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1441996370
Total Pages : 369 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!


Book Synopsis Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis by : Soon-Mo Jung

Download or read book Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis written by Soon-Mo Jung and published by Springer Science & Business Media. This book was released on 2011-04-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables". This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.

Regularity Properties of Functional Equations in Several Variables

Download Regularity Properties of Functional Equations in Several Variables PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387244136
Total Pages : 378 pages
Book Rating : 4.2/5 (441 download)

DOWNLOAD NOW!


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 2005-03-03 with total page 378 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.

Iterative Functional Equations

Download Iterative Functional Equations PDF Online Free

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

DOWNLOAD NOW!


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.

Stability of Functional Equations in Banach Algebras

Download Stability of Functional Equations in Banach Algebras PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319187082
Total Pages : 353 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis Stability of Functional Equations in Banach Algebras by : Yeol Je Cho

Download or read book Stability of Functional Equations in Banach Algebras written by Yeol Je Cho and published by Springer. This book was released on 2015-06-26 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.

Mean Value Theorems and Functional Equations

Download Mean Value Theorems and Functional Equations PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9789810235444
Total Pages : 268 pages
Book Rating : 4.2/5 (354 download)

DOWNLOAD NOW!


Book Synopsis Mean Value Theorems and Functional Equations by : Prasanna Sahoo

Download or read book Mean Value Theorems and Functional Equations written by Prasanna Sahoo and published by World Scientific. This book was released on 1998 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and the Flett mean value theorems as well as extension to higher dimensions and the complex plane. Furthermore the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.

Stability of Functional Equations in Random Normed Spaces

Download Stability of Functional Equations in Random Normed Spaces PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461484774
Total Pages : 255 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Stability of Functional Equations in Random Normed Spaces by : Yeol Je Cho

Download or read book Stability of Functional Equations in Random Normed Spaces written by Yeol Je Cho and published by Springer Science & Business Media. This book was released on 2013-08-27 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research.

Functional Equations in Applied Sciences

Download Functional Equations in Applied Sciences PDF Online Free

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

DOWNLOAD NOW!


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.

Introduction to Functional Equations

Download Introduction to Functional Equations PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1439841160
Total Pages : 459 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Functional Equations by : Prasanna K. Sahoo

Download or read book Introduction to Functional Equations written by Prasanna K. Sahoo and published by CRC Press. This book was released on 2011-02-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p

Functional Equations — Results and Advances

Download Functional Equations — Results and Advances PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475752881
Total Pages : 359 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!


Book Synopsis Functional Equations — Results and Advances by : Zoltan Daroczy

Download or read book Functional Equations — Results and Advances written by Zoltan Daroczy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations of newer and newer types of functional equations. At the same time, the self development of this theory was also very fruitful. This can be followed in many monographs that treat and discuss the various methods and approaches. These developments were also essentially influenced by a number jour nals, for instance, by the Publicationes Mathematicae Debrecen (founded in 1953) and by the Aequationes Mathematicae (founded in 1968), be cause these journals published papers from the field of functional equa tions readily and frequently. The latter journal also publishes the yearly report of the International Symposia on Functional Equations and a comprehensive bibliography of the most recent papers. At the same time, there are periodically and traditionally organized conferences in Poland and in Hungary devoted to functional equations and inequali ties. In 2000, the 38th International Symposium on Functional Equations was organized by the Institute of Mathematics and Informatics of the University of Debrecen in Noszvaj, Hungary. The report about this meeting can be found in Aequationes Math. 61 (2001), 281-320.

Mathematical Methods For The Natural And Engineering Sciences (Second Edition)

Download Mathematical Methods For The Natural And Engineering Sciences (Second Edition) PDF Online Free

Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813202726
Total Pages : 640 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Methods For The Natural And Engineering Sciences (Second Edition) by : Ronald E Mickens

Download or read book Mathematical Methods For The Natural And Engineering Sciences (Second Edition) written by Ronald E Mickens and published by World Scientific Publishing Company. This book was released on 2016-12-29 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.

A Short Course in Ordinary Differential Equations

Download A Short Course in Ordinary Differential Equations PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319112392
Total Pages : 276 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis A Short Course in Ordinary Differential Equations by : Qingkai Kong

Download or read book A Short Course in Ordinary Differential Equations written by Qingkai Kong and published by Springer. This book was released on 2014-10-21 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.

Aggregating clones, colors, equations, iterates, numbers, and tiles

Download Aggregating clones, colors, equations, iterates, numbers, and tiles PDF Online Free

Author :
Publisher : Birkhäuser
ISBN 13 : 3034890966
Total Pages : 218 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!


Book Synopsis Aggregating clones, colors, equations, iterates, numbers, and tiles by : Janos Aczel

Download or read book Aggregating clones, colors, equations, iterates, numbers, and tiles written by Janos Aczel and published by Birkhäuser. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The journal aequationes mathematicae publishes papers in pure and applied mathematics and, in particular, articles on functional equations, combinatorics and dynamical systems. Its 50th volume appears in 1995. To mark this occasion, we are publishing in book form a repre sentative collection of outstanding survey papers assembled for our anniversary issue of aequationes mathematicae. The articles by Quackenbush, Targonski and Moszner discuss composition of functions from different points of view: universal algebra, dynamical systems (iteration) and functional equa tions. The Ono-Robbins-Wahl and the Vince papers, on number theory and tiles, respectively, are thematically linked by lattices. Combinatorics, in turn, links the Vince paper with that of Tutte, whose subject is chromatic sums, its tools differential and functional equations. The Paganoni-Ratz and the Forti papers deal with conditional functional equations and with the related topic of stability. Applications to the social and behavioral sciences, in particular to aggregation (and some theory) are presented in the paper by J. Aczel. The aim of the collection is to survey selected fields of current interest. We trust that it will be useful and informative for researchers, teachers, graduate and advanced undergraduate stu dents of mathematics, and for those interested in applications in related fields. lanDs Aczel Aequationes Mathematicae 50 (1995) 1 0001-9054/95/020001-01 $1.50 + 0.20/0 University of Waterloo © 1995 Birkhiiuser Verlag, Basel Editorial Volume 50 of Aequationes Mathematicae This is the fiftieth volume of aequationes mathematicae. Not only our modesty but also lack of space keeps us from self-congratulation.

A Short Course on Functional Equations

Download A Short Course on Functional Equations PDF Online Free

Author :
Publisher :
ISBN 13 : 9789400937505
Total Pages : 180 pages
Book Rating : 4.9/5 (375 download)

DOWNLOAD NOW!


Book Synopsis A Short Course on Functional Equations by : J. Aczel

Download or read book A Short Course on Functional Equations written by J. Aczel and published by . This book was released on 1986-11-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations and Inequalities with Applications

Download Functional Equations and Inequalities with Applications PDF Online Free

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

DOWNLOAD NOW!


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.

Towards Ulam Type Multi Stability Analysis

Download Towards Ulam Type Multi Stability Analysis PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031555643
Total Pages : 580 pages
Book Rating : 4.0/5 (315 download)

DOWNLOAD NOW!


Book Synopsis Towards Ulam Type Multi Stability Analysis by : Safoura Rezaei Aderyani

Download or read book Towards Ulam Type Multi Stability Analysis written by Safoura Rezaei Aderyani and published by Springer Nature. This book was released on with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: