Stability of Functional Equations in Several Variables

Stability of Functional Equations in Several Variables

by D.H. Hyers, G. Isac, Themistocles M. Rassias
     
 

The notion of stability of functional equations has been an area of revision and development for the past 20 years, having its origins more than half a century ago when S. Ulam posed the fundamental problem and D. H. Hyers gave the first significant partial solution. This volume is unique in that (to date) none exists as a comprehensive examination to the

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Overview

The notion of stability of functional equations has been an area of revision and development for the past 20 years, having its origins more than half a century ago when S. Ulam posed the fundamental problem and D. H. Hyers gave the first significant partial solution. This volume is unique in that (to date) none exists as a comprehensive examination to the subject.

The authors present both classical results and their original research in an integrated and self-contained fashion. Apart from the main topic of the stability of certain functional equations, related problems are discussed. These include the stability of the convex functional inequality and the stability of minimum points. The techniques used require some basic knowledge of functional analysis, algebra, and topology.

The text could be used in graduate seminars or by researchers in the field.

Editorial Reviews

From the Publisher

"…The book under review is an exhaustive presentation of the results in the field, not called Hyers-Ulam stability. It contains chapters on approximately additive and linear mappings, stability of the quadratic functional equation, approximately multiplicative mappings, functions with bounded differences, approximately convex functions. The book is of interest not only for people working in functional equations but also for all mathematicians interested in functional analysis."

–Zentralblatt Math

"Contains survey results on the stability of a wide class of functional equations and therefore, in particular, it would be interesting for everyone who works in functional equations theory as well as in the theory of approximation."

–Mathematical Reviews

Product Details

ISBN-13:
9781461272847
Publisher:
Birkhauser Verlag
Publication date:
12/31/2012
Series:
Progress in Nonlinear Differential Equations and Their Applications Series, #32
Edition description:
Softcover reprint of the original 1st ed. 1998
Pages:
318
Product dimensions:
6.10(w) x 9.25(h) x 0.69(d)

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