Topics in Functional Equations

Author: Titu Andreescu,Iurie Boreico,Oleg Mushkarov,Nikolai Nikolov

Publisher: Amer Mathematical Society

ISBN: 9780979926990

Category: Mathematics

Page: 505

View: 4154

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This book is a systematic and comprehensive approach to functional equations as a whole. Unlike in other branches of competitive mathematics, there is very little theory; instead, the methods and techniques utilized in solving these equations play the most important part. For this reason the book takes a highly practical path and includes lots of problems designed to teach students how to familiarize themselves with every strategy employed, as well as how to experiment in combining and manipulating different techniques. This work contains all the important functional equations given at contests in recent years, classified by the way the equations are solved. It explains the reasoning behind each method and offers advice on how to invent meaningful solutions.
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On Functions and Functional Equations

Author: Smital

Publisher: CRC Press

ISBN: 9780852744185

Category: Mathematics

Page: 164

View: 7078

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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.
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Topics in Functional Differential and Difference Equations

Author: Teresa Faria

Publisher: American Mathematical Soc.

ISBN: 0821827014

Category: Mathematics

Page: 378

View: 466

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This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Tecnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. The articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.
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Functional Equations and Inequalities

Author: Themistocles RASSIAS

Publisher: Springer Science & Business Media

ISBN: 9401143412

Category: Mathematics

Page: 336

View: 3348

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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.
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Functional Equations and Inequalities with Applications

Author: Palaniappan Kannappan

Publisher: Springer Science & Business Media

ISBN: 0387894926

Category: Mathematics

Page: 810

View: 9347

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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.
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Functional Equations and Inequalities

Solutions and Stability Results

Author: John Michael Rassias,E Thandapani,K Ravi,B V Senthil Kumar

Publisher: World Scientific Publishing Company

ISBN: 9813147628

Category:

Page: 396

View: 1258

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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. Request Inspection Copy
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Advanced Topics in Mathematical Analysis

Author: Michael Ruzhansky,Hemen Dutta

Publisher: CRC Press

ISBN: 1351142119

Category: Mathematics

Page: 588

View: 7726

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Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.
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Linearization Models for Complex Dynamical Systems

Topics in Univalent Functions, Functional Equations and Semigroup Theory

Author: Mark Elin,David Shoikhet

Publisher: Springer Science & Business Media

ISBN: 9783034605090

Category: Mathematics

Page: 268

View: 8093

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Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
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