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Displaying similar documents to “Existence of fixed points on compact epilipschitz sets without invariance conditions.”

On a certain converse statement of the Filippov-Ważewski relaxation theorem

Aurelian Cernea (2001)

Commentationes Mathematicae Universitatis Carolinae

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A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.

On the existence of periodic solutions for nonconvex differential inclusions

Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1996)

Archivum Mathematicum

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Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.

Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')

L. H. Erbe, W. Krawcewicz (1991)

Annales Polonici Mathematici

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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.