Geodesic
On $\omega$-limit sets of nonautonomous differential equations
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 267-281 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper the $\omega$-limit behaviour of trajectories of solutions of ordinary differential equations is studied by methods of an axiomatic theory of solution spaces. We prove, under very general assumptions, semi-invariance of $\omega$-limit sets and a Poincar'{e}-Bendixon type theorem.
In this paper the $\omega$-limit behaviour of trajectories of solutions of ordinary differential equations is studied by methods of an axiomatic theory of solution spaces. We prove, under very general assumptions, semi-invariance of $\omega$-limit sets and a Poincar'{e}-Bendixon type theorem.
Classification : 34A34, 34C05, 34C11, 34C99, 34D05
Keywords: $\omega$-limit sets; stationary points; the Poincar'{e}-Bendixon theorem 
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     title = {On $\omega$-limit sets of nonautonomous differential equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {267--281},
     year = {1994},
     volume = {35},
     number = {2},
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     zbl = {0809.34042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a7/}
}
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Klebanov, Boris S. On $\omega$-limit sets of nonautonomous differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 267-281. http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a7/