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.

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.

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.