On integral inclusions of Volterra type in Banach spaces
Nikolaos S. Papageorgiou (1992)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Convexity of the orientor field and the solution set of a class of evolution inclusions”
On integral inclusions of Volterra type in Banach spaces
On nonconvex valued Volterra integral inclusions in Banach spaces
Nikolaos S. Papageorgiou (1994)
Czechoslovak Mathematical Journal
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Existence of solutions for integrodifferential inclusions in Banach spaces.
Papageorgiou, Nikolaos S. (1991)
Commentationes Mathematicae Universitatis Carolinae
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Existence of solutions for integrodifferential inclusions in Banach spaces
Nikolaos S. Papageorgiou (1991)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we examine nonlinear integrodifferential inclusions defined in a separable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.
Topological properties of the solution set of a class of nonlinear evolutions inclusions
Nikolaos S. Papageorgiou (1997)
Czechoslovak Mathematical Journal
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In the paper we study the topological structure of the solution set of a class of nonlinear evolution inclusions. First we show that it is nonempty and compact in certain function spaces and that it depends in an upper semicontinuous way on the initial condition. Then by strengthening the hypothesis on the orientor field , we are able to show that the solution set is in fact an -set. Finally some applications to infinite dimensional control systems are also presented.