Available online at www.tjnsa.com J. Nonlinear Sci. Appl. 6 (2013), 60–67 Research Article On the stability of an affine functional equation

In this paper, we obtain the general solution and we prove the generalized Hyers-Ulam stability for an affine functional equation

Fixed Point Theory and the Ulam Stability

The fixed point method has been applied for the first time, in proving the stability results for functional equations, by Baker (1991); he used a variant of Banach's fixed point theorem to obtain the stability of a functional equation in a single variable. However, most authors follow the approaches involving a theorem of Diaz and Margolis. The main aim of this survey is to present applications of different fixed point theorems to the theory of stability of functional equations, motivated by a problem raised by Ulam in 1940

Ulam Stability of a Second Linear Differential Operator with Nonconstant Coefficients

In this paper, we obtain a result on Ulam stability for a second order differential operator acting on a Banach space. The result is connected to the existence of a global solution for a Riccati differential equation and some appropriate conditions on the coefficients of the operator

Survey on Recent Ulam Stability Results Concerning Derivations

This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we highlight some recent outcomes on stability of conditions defining (generalized) Lie derivations

Easy-to-Read: Evolution and Perspectives—A Bibliometric Analysis of Research, 1978–2021

The purpose of this paper is to observe the use of the Easy-to-Read term in the international scientific literature. Therefore, a bibliometric analysis was carried out using the Web of Science database, focusing on the period between 1978 and 2021. From this, 1065 records that met the search criteria were further identified. After applying the PRISMA model, the final analysis was performed on a corpus of 102 documents, comprising an analysis of the keywords and expressions where the term was found, an authorship analysis, a citation analysis, as well as a co-occurrence analysis. The publications were grouped based on the research area, with the field of Computer Science standing out with most of the occurrences (25), followed by Education & Educational Research (14 occurrences) and Linguistics (9 occurrences). The results suggest that interest in this field of research is limited, as the maximum number of publications related to this topic was 16 in 2020 and 14 in 2021. The study is important as it sheds light on the current state of the topic and seeks to identify future trends in this field