Abstract and Applied Analysis

Ulam's Type Stability


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

Lead Editor

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 503671
  • - Research Article

Higher Ring Derivation and Intuitionistic Fuzzy Stability

Ick-Soon Chang
  • Special Issue
  • - Volume 2012
  • - Article ID 347478
  • - Research Article

The Hyers-Ulam-Rassias Stability of -Derivations on Normed Algebras

Ajda Fošner
  • Special Issue
  • - Volume 2012
  • - Article ID 613270
  • - Research Article

Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk

Rabha W. Ibrahim
  • Special Issue
  • - Volume 2012
  • - Article ID 763728
  • - Research Article

On the Stability Problem in Fuzzy Banach Space

G. Zamani Eskandani | P. Găvruţa | Gwang Hui Kim
  • Special Issue
  • - Volume 2012
  • - Article ID 205160
  • - Research Article

A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

Jae-Hyeong Bae | Won-Gil Park
  • Special Issue
  • - Volume 2012
  • - Article ID 926390
  • - Research Article

On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces

Tian Zhou Xu | John Michael Rassias
  • Special Issue
  • - Volume 2012
  • - Article ID 232630
  • - Research Article

Ulam Stability of a Quartic Functional Equation

Abasalt Bodaghi | Idham Arif Alias | Mohammad Hosein Ghahramani
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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