Open AccessLogarithmic norms and regular perturbations of differential equations
Author(s) -
Jacek Banasiak
Publication year - 2020
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2019.73.2.5-19
Subject(s) - logarithm , mathematics , ordinary differential equation , convergence (economics) , norm (philosophy) , mathematical analysis , differential equation , matrix (chemical analysis) , materials science , political science , law , economics , composite material , economic growth
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.