On the solution sets of some nonconvex hyperbolic differential inclusions
Francesco S. de Blasi, Giulio Pianigiani, Vasile Staicu (1995)
Czechoslovak Mathematical Journal
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Francesco S. de Blasi, Giulio Pianigiani, Vasile Staicu (1995)
Czechoslovak Mathematical Journal
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Byszewski, Ludwik, Papageorgiou, Nikolaos S. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Georgeta Teodoru (2004)
Annales Polonici Mathematici
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We consider the Picard-Ionescu problem for hyperbolic inclusions with modified argument. Existence of a local solution is proved and some properties of the set of solutions are established.
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.
Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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Beata Kubiś (2001)
Mathematica Bohemica
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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.