A. Ornelas (1991)
Annales Polonici Mathematici
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We construct a guided continuous selection for lsc multifunctions with decomposable values in L¹[0,T]. We then apply it to obtain a new result on the uniform approximation of relaxed solutions for lsc differential inclusions.
Nikolaos S. Papageorgiou (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.
Nikolaos S. Papageorgiou (1995)
Archivum Mathematicum
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In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also...
Gatsori, E., Ntouyas, S.K., Sficas, Y.G. (2004)
Abstract and Applied Analysis
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Cernea, Aurelian (2007)
Applied Mathematics E-Notes [electronic only]
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Myelkebir Aitalioubrahim (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We show the existence of solutions to a boundary-value problem for fourth-order differential inclusions in a Banach space, under Lipschitz’s contractive conditions, Carathéodory conditions and lower semicontinuity conditions.