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On ω -limit sets of nonautonomous differential equations

Boris S. Klebanov (1994)

Commentationes Mathematicae Universitatis Carolinae

In this paper the ω -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 ω -limit sets and a Poincar’e-Bendixon type theorem.

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