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Areas of attraction for nonautonomous differential equations on finite time intervals
journal contribution
posted on 2023-06-08, 21:10 authored by Peter GieslPeter Giesl, Martin RasmussenIn this article, new concepts of (exponential) attractivity for nonautonomous differential equations on a finite time interval are introduced. Due to nonuniqueness of finite- time objects, areas of attraction are studied rather than solutions which are attractive. A sufficient and necessary condition for the existence of such areas is presented, which makes use of a time-varying Riemannian metric. Several examples illustrate the theoretical results and definitions.
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Publication status
- Published
Journal
Journal of Mathematical Analysis and ApplicationsISSN
0022-247XPublisher
ElsevierExternal DOI
Issue
1Volume
390Page range
27-46Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2015-06-16Usage metrics
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