Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Progress in Nonlinear Differential Equations and Their Applications Ser.: Stability of Functional Equations in Several Variables by Themistocles M. Rassias, G. Isac and D. H. Hyers (2012, Trade Paperback)
Awesomebooksusa (441861)
97.9% positive feedback
Price:
$137.23
Free shipping
Returns:
30 days returns. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Title: Stability of Functional Equations in Several Variables Item Condition: New. Edition: Softcover reprint of the original 1st ed. 1998 List Price: -. Books will be free of page markings.
- Buy It NowStability of Functional Equations in Several Variables
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherBirkhäuser Boston
ISBN-10146127284X
ISBN-139781461272847
eBay Product ID (ePID)12038588814
Product Key Features
Number of PagesVII, 318 Pages
Publication NameStability of Functional Equations in Several Variables
LanguageEnglish
Publication Year2012
SubjectFunctional Analysis, System Theory, Mathematical Analysis
TypeTextbook
Subject AreaMathematics, Science
AuthorThemistocles M. Rassias, G. Isac, D. H. Hyers
SeriesProgress in Nonlinear Differential Equations and Their Applications Ser.
FormatTrade Paperback
Dimensions
Item Height0.3 in
Item Weight17.8 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Reviews"…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
Series Volume Number34
Number of Volumes1 vol.
IllustratedYes
Table Of ContentPrologue.- 1. Introduction.- 2. Approximately Additive and Approximately Linear Mappings.- 3. Stability of the Quadratic Functional Equation.- 4. Generalizations. The Method of Invariant Means.- 5. Approximately Multiplicative Mappings. Superstability.- 6. The Stability of Functional Equations for Trigonometric and Similar Functions.- 7. Functions with Bounded nth Differences.- 8. Approximately Convex Functions.- 9. Stability of the Generalized Orthogonality Functional Equation.- 10. Stability and Set-Valued Functions.- 11. Stability of Stationary and Minimum Points.- 12. Functional Congruences.- 13. Quasi-Additive Functions and Related Topics.- References.
SynopsisThe notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de- veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre- sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa- tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co- author and friend Professor Donald H. Hyers passed away., The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.
LC Classification NumberQA319-329.9
Be the first to write a review
