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Lyapunov Irregularity Coefficient as a Function of the Parameter for Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Half-Line.
- Source :
- Differential Equations; Dec2019, Vol. 55 Issue 12, p1531-1543, 13p
- Publication Year :
- 2019
-
Abstract
- We consider families of n-dimensional (n ≥ 2) linear differential systems on the time half-line with parameter belonging to a metric space. We obtain a complete description of the Lyapunov irregularity coefficient as a function of the parameter for families whose dependence on the parameter is continuous in the sense of uniform convergence on the time half-line. As a corollary, we completely describe the parametric dependence of the Lyapunov irregularity coefficient of a regular linear system with a linear parametric perturbation decaying at infinity uniformly with respect to the parameter. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR systems
METRIC spaces
CONTINUOUS time systems
Subjects
Details
- Language :
- English
- ISSN :
- 00122661
- Volume :
- 55
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 141531397
- Full Text :
- https://doi.org/10.1134/S0012266119120012