Well posedness for evolution inclusions.
Balachandran, K., Anguraj, A. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Balachandran, K., Anguraj, A. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Lupulescu, Vasile (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Myelkebir Aitalioubrahim (2012)
Commentationes Mathematicae Universitatis Carolinae
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We prove a theorem on the existence of solutions of a first order functional differential inclusion governed by a class of nonconvex sweeping process with a noncompact perturbation.
Papageorgiou, N.S., Papalini, F. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Castaing, C., Monteiro Marques, M.D.P. (1997)
Portugaliae Mathematica
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Montgomery-Smith, Stephen (1998)
Electronic Journal of Probability [electronic only]
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Papageorgiou, Nikolaos S. (1991)
Commentationes Mathematicae Universitatis Carolinae
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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.