New regularity coefficients

Barreira Luis and Valls Claudia: New regularity coefficients. (2022)

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We give two new characterizations of the notion of Lyapunov regularity in terms of the lower and upper exponential growth rates of the singular values. These characterizations motivate the introduction of new regularity coefficients. In particular, we establish relations between these regularity coefficients and the Lyapunov regularity coefficient. Moreover, we construct explicitly bounded sequences of matrices attaining specific values of the new regularity coefficients.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 1
ISSN: 1417-3875
Number of Pages: 25
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.1
Uncontrolled Keywords: Ljapunov szabályosság, Szabályossági együtthatók
Additional Information: Bibliogr.: 25. p. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 23. 13:58
Last Modified: 2022. May. 23. 13:58

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