Prasanna K. Sahoo, Palaniappan Kannappan

Introduction to Functional Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

Functional equations form a modern branch of mathematics. This book provides an elementary yet comprehensive introduction to the field of functional equations and stabilities. Concentrating on functional equations that are real or complex, the authors present many fundamental techniques for solving these functional equations. Topics covered in the text include Cauchy equations, additive functions, functional equations for distance measures, and Pexider's functional equations. Each chapter points to various developments in abstract domains, such as semigroups, groups, or Banach spaces, and includes exercises for both self-study and classroom use.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 465
• Erscheinungstermin: 8. Februar 2011
• Englisch
• ISBN-13: 9781439841167
• Artikelnr.: 57534208

Autorenporträt

Prasanna K. Sahoo, Department of Mathematics, University of Louisville, Kentucky, USA

Palaniappan Kannappan, Department of Pure Mathematics, University of Waterloo, Ontario, Canada

Inhaltsangabe

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.

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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.

Rezensionen

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