Functional Equations and Inequalities with Applications

Softcover Nachdruck of the original 1. Auflage 2009
ISBN: 978-1-4899-7902-5
Verlag: Springer

Buch, Englisch, 810 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1241 g

Reihe: Springer Monographs in Mathematics

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Kannappan, Palaniappan

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Basic Equations: Cauchy and Pexider Equations.- Matrix Equations.- Trigonometric Functional Equations.- Quadratic Functional Equations.- Characterization of Inner Product Spaces.- Stability.- Characterization of Polynomials.- Nondifferentiable Functions.- Characterization of Groups, Loops, and Closure Conditions.- Functional Equations from Information Theory.- Abel Equations and Generalizations.- Regularity Conditions—Christensen Measurability.- Difference Equations.- Characterization of Special Functions.- Miscellaneous Equations.- General Inequalities.- Applications.