On the Instability of Millionshchikov Linear Differential Systems with Continuous Dependence on a Real Parameter

We prove the existence of unstable systems in one-parameter families of Millionshchikov linear differential systems with continuous dependence on a real parameter containing Lyapunov improper systems with quasiperiodic coefficients.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2022-04, Vol.58 (4), p.468-474
1. Verfasser:	Lipnitskii, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Differential equations Mathematics Mathematics and Statistics Ordinary Differential Equations Parameters Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove the existence of unstable systems in one-parameter families of Millionshchikov linear differential systems with continuous dependence on a real parameter containing Lyapunov improper systems with quasiperiodic coefficients.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266122040036