Iterative Functional Equations

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Iterative Functional Equations

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

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.

Iterative Functional Equations

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (65 download)

Book Synopsis Iterative Functional Equations by :

Download or read book Iterative Functional Equations written by and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations, Inequalities and Applications

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Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
ISBN 13 : 940170225X
Total Pages : 221 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Functional Equations, Inequalities and Applications by : Themistocles RASSIAS

Download or read book Functional Equations, Inequalities and Applications written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.

Functional Equations and Inequalities

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Author : Themistocles M. Rassias
Publisher : Springer Science & Business Media
ISBN 13 : 9780792364849
Total Pages : 354 pages
Book Rating : 4.3/5 (648 download)

Book Synopsis Functional Equations and Inequalities by : Themistocles M. Rassias

Download or read book Functional Equations and Inequalities written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2000-07-31 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition oftrigonometric functions, the functional equation ofthe square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution ofzeros and inequalities for zeros of algebraic polynomials, a qualitative study ofLobachevsky's complex functional equation, functional inequalities in special classesoffunctions, replicativity and function spaces, normal distributions, some difference equations, finite sums decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problem of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszil's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. It is a pleasureto express my deepest appreciationto all the mathematicians who contributed to this volume. Finally, we wish to acknowledge the superb assistance provided by the staffofKluwer Academic Publishers. June 2000 Themistocles M. Rassias xi ON THE STABILITY OF A FUNCTIONAL EQUATION FOR GENERALIZED TRIGONOMETRIC FUNCTIONS ROMAN BADORA lnstytut Matematyki, Uniwersytet Sli;ski, ul. Bankowa 14, PL-40-007 Katowice, Poland, e-mail: robadora@gate. math. us. edu. pl Abstract. In the present paper the stability result concerning a functional equation for generalized trigonometric functions is presented. Z.

Iteration Theory and its Functional Equations

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Author : Roman Liedl
Publisher : Springer
ISBN 13 : 3540397493
Total Pages : 238 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Iteration Theory and its Functional Equations by : Roman Liedl

Download or read book Iteration Theory and its Functional Equations written by Roman Liedl and published by Springer. This book was released on 2006-11-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Solutions of Functional Equations

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

Book Synopsis Analytic Solutions of Functional Equations by :

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

Analytic Solutions of Functional Equations

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Author : Sui Sun Cheng
Publisher : World Scientific
ISBN 13 : 9812793348
Total Pages : 296 pages
Book Rating : 4.8/5 (127 download)

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 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.

Developments in Functional Equations and Related Topics

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Author : Janusz Brzdęk
Publisher : Springer
ISBN 13 : 331961732X
Total Pages : 354 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Developments in Functional Equations and Related Topics by : Janusz Brzdęk

Download or read book Developments in Functional Equations and Related Topics written by Janusz Brzdęk and published by Springer. This book was released on 2017-08-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Iteration Theory and Its Functional Equations

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Author : Roman Liedl
Publisher :
ISBN 13 : 9783662175057
Total Pages : 244 pages
Book Rating : 4.1/5 (75 download)

Book Synopsis Iteration Theory and Its Functional Equations by : Roman Liedl

Download or read book Iteration Theory and Its Functional Equations written by Roman Liedl and published by . This book was released on 2014-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Functions and Functional Equations

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

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.

Iteration Theory and Its Functional Equations

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Author : Roman Liedl
Publisher : Springer
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.X/5 (1 download)

Book Synopsis Iteration Theory and Its Functional Equations by : Roman Liedl

Download or read book Iteration Theory and Its Functional Equations written by Roman Liedl and published by Springer. This book was released on 1985 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Frontier Problems of Physics: The Decomposition Method

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Author : G. Adomian
Publisher : Springer Science & Business Media
ISBN 13 : 9401582890
Total Pages : 367 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Solving Frontier Problems of Physics: The Decomposition Method by : G. Adomian

Download or read book Solving Frontier Problems of Physics: The Decomposition Method written by G. Adomian and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.

Functional Equations in a Single Variable

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Author : Marek Kuczma
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (89 download)

Book Synopsis Functional Equations in a Single Variable by : Marek Kuczma

Download or read book Functional Equations in a Single Variable written by Marek Kuczma and published by . This book was released on 1968 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations and How to Solve Them

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

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.

Functional Equations and Inequalities

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Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
ISBN 13 : 9401143412
Total Pages : 335 pages
Book Rating : 4.4/5 (11 download)

Book Synopsis Functional Equations and Inequalities by : Themistocles RASSIAS

Download or read book Functional Equations and Inequalities written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.

Iterative Methods for Sparse Linear Systems

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Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Applied Iterative Methods

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Author : Louis A. Hageman
Publisher : Elsevier
ISBN 13 : 1483294374
Total Pages : 409 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Applied Iterative Methods by : Louis A. Hageman

Download or read book Applied Iterative Methods written by Louis A. Hageman and published by Elsevier. This book was released on 2014-06-28 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Iterative Methods