A note on multivalued differential equations on proximate retracts.
O'Regan, Donal (1999)
Journal of Applied Mathematics and Stochastic Analysis
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O'Regan, Donal (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Mouffak Benchohra (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
Andrzej Fryszkowski (1984)
Studia Mathematica
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Ibrahim, A.G. (1998)
International Journal of Mathematics and Mathematical Sciences
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Marian Muresan (1994)
Collectanea Mathematica
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Salvatore A. Marano (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
Grzegor Gabor (2002)
Bollettino dell'Unione Matematica Italiana
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A topological structure of solution sets to multivalued differential problems on the halfline is studied by the use of Scorza-Dragoni type results and by the inverse systems approach. Some new existence results for asymptotic boundary value problems are also presented.
Byszewski, Ludwik, Papageorgiou, Nikolaos S. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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