Cantitate/Preț
Produs
Total produse
Vezi coșul
Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis de Soon-Mo Jung

Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis: Springer Optimization and Its Applications, cartea 48

Autor Soon-Mo Jung
en Limba Engleză Paperback – 28 mai 2013
No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables".
This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 36894 lei  39-44 zile
  Springer – 28 mai 2013 36894 lei  39-44 zile
Hardback (1) 39223 lei  6-8 săpt.
  Springer – 25 apr 2011 39223 lei  6-8 săpt.

Din seria Springer Optimization and Its Applications

  • 15% Numerical Optimization with Computational Errors
    Preț: 62902 lei
  • 15% Optimization Methods and Applications: In Honor of Ivan V. Sergienko's 80th Birthday
    Preț: 65117 lei
  • 14% Computational Mathematics and Variational Analysis
    Preț: 98803 lei
  • 17% Introduction to Geometric Control
    Preț: 36079 lei
  • 17% Graph and Network Theory: An Applied Approach using Mathematica®
    Preț: 46829 lei
  • Introduction to Combinatorial Optimization
    Preț: 36101 lei
  • 18% Polynomial Optimization, Moments, and Applications
    Preț: 77196 lei
  • 17% Introduction to Applied Optimization
    Preț: 39779 lei
  • 18% Optimization Theory and Methods: Nonlinear Programming
    Preț: 111033 lei
  • 15% Nonsmooth Vector Functions and Continuous Optimization
    Preț: 63336 lei
  • 15% Network Models in Economics and Finance
    Preț: 63432 lei
  • Optimization Models in a Transition Economy
    Preț: 39243 lei
  • Selected Applications of Convex Optimization
    Preț: 37224 lei
  • Turnpike Theory of Continuous-Time Linear Optimal Control Problems
    Preț: 38390 lei
  • Optimized Packings with Applications
    Preț: 38848 lei
  • An Introduction to Optimal Satellite Range Scheduling
    Preț: 53524 lei
  • 15% Advances in Stochastic and Deterministic Global Optimization
    Preț: 63432 lei
  • Advances in Mathematical Modeling, Optimization and Optimal Control
    Preț: 38241 lei
  • 15% Optimization and Control of Bilinear Systems: Theory, Algorithms, and Applications
    Preț: 63673 lei
  • 24% Convex Analysis and Global Optimization
    Preț: 61155 lei
  • 18% Mathematical Analysis, Approximation Theory and Their Applications
    Preț: 95291 lei
  • 20% Approximate Solutions of Common Fixed-Point Problems
    Preț: 58591 lei
  • 15% Operations Research, Engineering, and Cyber Security: Trends in Applied Mathematics and Technology
    Preț: 69573 lei
  • 18% Space Engineering: Modeling and Optimization with Case Studies
    Preț: 72759 lei
  • 15% Optimization and Its Applications in Control and Data Sciences: In Honor of Boris T. Polyak’s 80th Birthday
    Preț: 64492 lei
  • 15% Variational Analysis and Aerospace Engineering: Mathematical Challenges for the Aerospace of the Future
    Preț: 64570 lei
  • 18% Progress in Approximation Theory and Applicable Complex Analysis: In Memory of Q.I. Rahman
    Preț: 73008 lei
  • 15% Spatial Interaction Models: Facility Location Using Game Theory
    Preț: 69106 lei
  • 20% Discrete-Time Optimal Control and Games on Large Intervals
    Preț: 58107 lei

Preț: 36894 lei

Nou

Puncte Express: 553
Preț estimativ în valută:
7062€ • 7413$ • 5834£

Carte tipărită la comandă

Livrare economică 27 ianuarie-01 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781461428626
ISBN-10: 1461428629
Pagini: 376
Ilustrații: XIV, 362 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.53 kg
Ediția:2011
Editura: Springer
Colecția Springer
Seria Springer Optimization and Its Applications

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

-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(xy)= f(x)y, Functional equation f(x+y)= f(x)f(y)f(1/x+1/y)). -11. Logarithmic Functional Equations (Functional equation f(xy)= yf(x), Superstability of equation f(xy)= 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.

Recenzii

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)

Notă biografică

Soon-Mo Jung is a highly respected mathematician who was born in 1957 in Seocheon, South Korea. He received his BS in Atomic Nuclear Engineering at the Seoul National University and  received his BS, MS, and PhDs in Mathematics at the University of Stuttgart.
Dr. Jung has published approximately 150 research papers in the areas of functional equations, classical analysis, analytical geometry, measure theory, fractals, number theory, and algebra, and has published 5 books. This  present volume will be his first book published with Springer. However, Soon-Mo has contributed papers to several edited volumes and journals such as “Nonlinear Analysis and Variational Problems” (SOIA 35), Acta Mathematica Sinica, Bulletin of the Brazilian Math Society, Proceedings Mathematical Sciences, and Journal of Central South University of Technology.

Textul de pe ultima copertă

This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th.M. Rassias (© Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the classical results of  the Hyers-Ulam-Rassias stability.
The self-contained text is presented in an easy to understand fashion and all the necessary materials and information are included in order to appeal to a diverse audience with interests in difference and functional equations and functional analysis. Highlights of the text include discussions of the method of invariant means and the fixed point method,  the stability problems for the exponential functional equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Pexider equation, and superstability of the exponential function.

Caracteristici

Organized such that highly advanced undergraduate as well as graduate level students will be able to follow the materials Contains unified notation and refined formulae All the necessary materials and information are included in this book . Offers almost all classical results on the Hyers—Ulam—Rassias stability in an integrated and self-contained fashion Includes supplementary material: sn.pub/extras