Abstract and Applied Analysis

Ulam's Type Stability


Publishing date
28 Sep 2012
Status
Published
Submission deadline
11 May 2012

1Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

2Département d'Informatique et de Mathématique, Ecole Centrale de Nantes, 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 3, France

3Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China


Ulam's Type Stability

Description

The original stability problem was posed by S. M. Ulam in 1940 and concerned approximate homomorphisms. The pursuit of solutions to this problem, but also to its generalizations and modifications for various classes of (difference, functional, differential, and integral) equations and inequalities, is an expanding area of research and has led to the development of what is now quite often called the Hyers-Ulam stability theory. The special issue is focused on the latest achievements in that type of stability for various objects. The authors are invited to submit original research papers as well as review articles that will stimulate the continuing efforts in Ulam's type stability, its applications, and related problems. Moreover, high quality papers on solutions of functional equations and inequalities will be considered for publication in this special issue, as well. Potential topics include, but are not limited to:

  • Hyers-Ulam stability of difference, functional, differential, and integral equations
  • Generalized (in the sense of Aoki and Rassias, Bourgin and Găvrută) stability
  • Stability of functional inequalities
  • Superstability
  • Stability in various (classical Banach, non-Archimedean, fuzzy, and quasi-Banach) spaces
  • Direct, fixed-point, and invariant mean methods
  • Stability in the sense of Ger
  • Applications and related problems
  • Stability on a restricted domain

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2012
  • - Article ID 716936
  • - Review Article

On Some Recent Developments in Ulam's Type Stability

Nicole Brillouët-Belluot | Janusz Brzdęk | Krzysztof Ciepliński
  • Special Issue
  • - Volume 2012
  • - Article ID 329702
  • - Editorial

Ulam's Type Stability

Janusz Brzdęk | Nicole Brillouët-Belluot | ... | Bing Xu
  • Special Issue
  • - Volume 2012
  • - Article ID 269701
  • - Research Article

Probabilistic (Quasi)metric Versions for a Stability Result of Baker

Dorel Miheţ | Claudia Zaharia
  • Special Issue
  • - Volume 2012
  • - Article ID 240258
  • - Research Article

Approximate Riesz Algebra-Valued Derivations

Faruk Polat
  • Special Issue
  • - Volume 2012
  • - Article ID 248413
  • - Research Article

On the Structure of Brouwer Homeomorphisms Embeddable in a Flow

Zbigniew Leśniak
  • Special Issue
  • - Volume 2012
  • - Article ID 270954
  • - Research Article

Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces

Hark-Mahn Kim | Kil-Woung Jun | Eunyoung Son
  • Special Issue
  • - Volume 2012
  • - Article ID 219435
  • - Research Article

Generalized Stability of Euler-Lagrange Quadratic Functional Equation

Hark-Mahn Kim | Min-Young Kim
  • Special Issue
  • - Volume 2012
  • - Article ID 675810
  • - Research Article

General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors

Margherita Fochi
  • Special Issue
  • - Volume 2012
  • - Article ID 712743
  • - Research Article

Fixed Points and Generalized Hyers-Ulam Stability

L. Cădariu | L. Găvruţa | P. Găvruţa
  • Special Issue
  • - Volume 2012
  • - Article ID 684179
  • - Research Article

Approximate Cubic ∗-Derivations on Banach ∗-Algebras

Seo Yoon Yang | Abasalt Bodaghi | Kamel Ariffin Mohd Atan
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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