Introduction to Functional Equations

AvPrasanna K. Sahoo,Palaniappan Kannappan

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Engelska, 2011

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Beskrivning

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

Produktinformation

Utgivningsdatum:2011-02-08
Språk:Engelska
Filformat:EPUB
Kopieringsskydd:LCP
ISBN:9781040210321
Förlag:Taylor & Francis Ltd

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Prasanna K. Sahoo, Department of Mathematics, University of Louisville, Kentucky, USAPalaniappan Kannappan, Department of Pure Mathematics, University of Waterloo, Ontario, Canada

Recensioner i media

The book includes several interesting and fundamental techniques for solving functional equations in real or complex realms. There exist many useful exercises as well as well-organized concluding remarks in each chapter. … This book is written in a clear and readable style. It is useful for researchers and students working in functional equations and their stability.—Mohammad Sal Moslehian, Mathematical Reviews, Issue 2012b

Innehållsförteckning

Additive Cauchy Functional Equation. Remaining Cauchy Functional Equations. Cauchy Equations in Several Variables. Extension of Additive Functions. Applications of Cauchy Functional Equations. More Applications of Functional Equations. The Jensen Functional Equation. Pexider's Functional Equations. Quadratic Functional Equation. D'Alembert Functional Equation. Trigonometric Functional Equations. Pompeiu Functional Equation. Hosszu Functional Equation. Davison Functional Equation. Abel Functional Equation. Mean Value Type Functional Equations. Functional Equations for Distance Measures. Stability of Additive Cauchy Equation. Stability of Exponential Cauchy Equations. Stability of d'Alembert and Sine Equations. Stability of Quadratic Functional Equations. Stability of Davison's Functional Equation.