Banasiak, Jacek2021-05-062021-05-062019BANASIAK, Jacek. Logarithmic norms and regular perturbations of differential equations. Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, [S.l.], v. 73, n. 2, p. 5-19, jan. 2020. ISSN 2083-7402. Available at: <https://journals.umcs.pl/a/article/view/10236>. doi: http://dx.doi.org/10.17951/a.2019.73.2.5-19.0365-1029 (print)2083-7402 (online)10.17951/a.2019.73.2.5-19http://hdl.handle.net/2263/79801In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicability by using it to find conditions under which the convergence of solutions of regularly perturbed systems of ordinary differential equations is uniform globally in time.enCopyright (c) 2019 Jacek BanasiakLogarithmic normStabilityRegular perturbations of differential equationsArticle