A random nonlinear multivalued evolution equation in Hilbert space
Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1989)
Colloquium Mathematicae
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Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1989)
Colloquium Mathematicae
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Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1989)
Commentationes Mathematicae Universitatis Carolinae
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Ibrahim, A.G. (1998)
International Journal of Mathematics and Mathematical Sciences
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Soumia Saïdi, Mustapha Fateh Yarou (2015)
Annales Polonici Mathematici
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On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
Tiziana Cardinali, Simona Pieri (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation...
Nikolas S. Papageorgiou, Francesca Papalini (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Stanisław Łojasiewicz, jr. (1985)
Banach Center Publications
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F. Ancona, G. Colombo (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Nikolaos S. Papageorgiou (1990)
Annales Polonici Mathematici
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Stanisław Migórski (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.
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.