Iteration Theory And Its Functional Equations
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Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher: Springer
Release Date : 2006-11-14
Iteration Theory And Its Functional Equations written by Roman Liedl 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.
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher:
Release Date : 2014-01-15
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
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.
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher: Springer
Release Date : 1985
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
A Short Course On Functional Equations
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Author : J. Aczél
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A 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 2012-12-06 with Mathematics categories.
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.
Lectures On Functional Equations And Their Applications
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Author : J. Aczel
language : en
Publisher: Courier Corporation
Release Date : 2006-02-01
Lectures On Functional Equations And Their Applications written by J. Aczel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-01 with Mathematics categories.
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.
Analytic Solutions Of Functional Equations
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Author : Sui Sun Cheng
language : en
Publisher: World Scientific
Release Date : 2008-03-14
Analytic Solutions Of Functional Equations written by Sui Sun Cheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-14 with Mathematics categories.
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.
Iteration Theory Proceedings Of The European Conference
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Author : W Forg-rob
language : en
Publisher: World Scientific
Release Date : 1996-07-03
Iteration Theory Proceedings Of The European Conference written by W Forg-rob and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-03 with categories.
Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.
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.
Early Days In Complex Dynamics
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Author : Daniel S. Alexander
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Early Days In Complex Dynamics written by Daniel S. Alexander and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.