Logarithmic norms and regular perturbations of differential equations
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Authors
Banasiak, Jacek
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Sciendo
Abstract
In 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.
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Keywords
Logarithmic norm, Stability, Regular perturbations of differential equations
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Citation
BANASIAK, 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.