Barreira Luis and Valls Claudia: New regularity coefficients. (2022)
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Abstract
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 |
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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 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/75816 |
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