Estimates for solutions of linear and quasilinear systems in the nonautonomous case
By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix A ( t ) satisfying the condition || A ( t )− A ( s )|| ≤ δ | t − s | α ,...
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Veröffentlicht in: | Differential equations 2016-02, Vol.52 (2), p.177-185 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix
A
(
t
) satisfying the condition ||
A
(
t
)−
A
(
s
)|| ≤
δ
|
t
−
s
|
α
,
δ
> 0,
α
> 0,
t
,
s
≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems. |
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ISSN: | 0012-2661 1608-3083 |
DOI: | 10.1134/S001226611602004X |