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Lyapunov's second method for nonautonomous differential equations

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005548
URN to cite this document: urn:nbn:de:bvb:703-epub-5548-0

Title data

Grüne, Lars ; Kloeden, Peter E. ; Siegmund, Stefan ; Wirth, Fabian:
Lyapunov's second method for nonautonomous differential equations.
Bayreuth , 2007

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Abstract

Converse Lyapunov theorems are presented for nonautonomous systems modelled as skew product flows. These characterize various types of stability of invariant sets and pullback, forward and uniform attractors in such nonautonomous systems.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Discrete and Continuous Dynamical Systems. Series A. Bd. 18 (März 2007) Heft 2/3 . - S. 375-403; https://doi.org/10.3934/dcds.2007.18.375
Keywords: Stability; Lyapunov's direct method; Nonautonomous differential equations; Converse Lyapunov theorems; Skew product flows; Attractors
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5548-0
Date Deposited: 19 May 2021 06:39
Last Modified: 15 Jun 2021 09:15
URI: https://epub.uni-bayreuth.de/id/eprint/5548

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