Produktbild: Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis
Band 48

Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

48,99 €

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

25.04.2011

Abbildungen

XIV, 362 p.

Verlag

Springer Us

Seitenzahl

362

Maße (L/B/H)

24,8/16,7/2,3 cm

Gewicht

678 g

Auflage

2011 edition

Sprache

Englisch

ISBN

978-1-4419-9636-7

Beschreibung

Rezension

From the reviews:

…I am more than happy to write my opinion on Soon-Mo Jung’s book, as a new addition in this rapidly growing field of mathematics, which will help interested mathematicians and graduate students to understand further this beautiful domain of research… The book contains 14 chapters…concludes with a very useful bibliography of 364 references and an index. It will definitely guide mathematics students to a decisive first step into this abstract, yet intriguing, field of mathematics.

The author has succeeded in presenting to both mathematicians and graduate students an invaluable source of essential mathematics. The book will certainly before a standard  reference for stability of functional equations in nonlinear analysis.

̶̶  Themistocles M. Rassias (EMS Newsletter, December 2011)

“This book is intended to provide an overview of the theory of the stability of functional equations. It is very useful for undergraduate/graduate students and also for anyone interested in Hyers-Ulam stability problems. The book is well written; the style is very accessible and clear.” (Paşc Găvruţa, Mathematical Reviews, Issue 2012 c)

“This interesting book is devoted to an exposition of some new significant results of the Hyers-Ulam-Rassias stability of functional equations, difference equations and related topics in Functional Analysis. … This book is well written in a concise, clear and readable style. … The book is a good source for specialists and graduate students working in functional equations.” (Mohammad Sal Moslehian, Zentralblatt MATH, Vol. 1221, 2011)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

25.04.2011

Abbildungen

XIV, 362 p.

Verlag

Springer Us

Seitenzahl

362

Maße (L/B/H)

24,8/16,7/2,3 cm

Gewicht

678 g

Auflage

2011 edition

Sprache

Englisch

ISBN

978-1-4419-9636-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)

  • Produktbild: Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

  • -1. Introduction. -2. Additive Cauchy Equation (Behavior of additive functions, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Stability on a restricted domain, Method of invariant means, Fixed point method, Composite functional congruences, Pexider equation, Remarks). -3. Generalized Additive Cauchy Equations (Functional equation f(ax+by)=af(x)+bf(y), Additive Cauchy equations of general form, Functional equation f(x+y)
    2
    =(f(x)+f(y))
    2
    ). -4. Hosszủ’s Functional Equation (Stability in the sense of Borelli, Hyers-Ulam stability, Generalized Hosszủ’s equation is not stable on the unit interval, Hosszủ’s functional equation of Pexider type). -5. Homogeneous Functional Equation(Homogeneous equation between Banach algebras, Superstability on a restricted domain, Homogeneous equation between vector spaces, Homogeneous equation of Pexide type). -6. Linear Functional Equations (A system for linear functions, Functional equation f(x+cy)=f(x)+cf(y), Stability for other equations).-7. Jensen’s Functional Equation (Hyers-Ulam-Rassias stability, Stability on a restriced domain, Fixed point method, Lobačevskíí;s functional equation). -8. Quadratic Functional Equations (Hyers-Ulam-Rassias stability, Stability on a restricted domain, Fixedpoint method, Quadratic functional equation of other type, Quadratic functional equation of Pexider type). -9. Exponential Functional Equations (Superstability, Stability in the sense of Ger, Stability on a restricted domain, Exponential functional equation of other type). -10. Multiplicative Functional Equations (Superstability, δ-multiplicative functional, Theory of AMNM algebras, Functional equation f(x
    y
    )= f(x)
    y
    , Functional equation f(x+y)= f(x)f(y)f(1/x+1/y)). -11. Logarithmic Functional Equations (Functional equation f(x
    y
    )= yf(x), Superstability of equation f(x
    y
    )= yf(x), Functional equation of Heuvers). -12. Trigonometric Functional Equations (Cosinefunctional equation, Sine functional equation, Trigonometric equations with two unknowns, Butler-Rassias functional equation, Remarks). -13. Isometric Functional Equation (Hyers-Ulam stability, Stability on a restricted domain, Fixed point method, Wigner equation). -14. Miscellaneous (Associativity equation, Equation of multiplicative derivation, Gamma functional equation). -Bibliography. -Index.