Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side
Diego Averna, Gabriele Bonanno (1999)
Annales Polonici Mathematici
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Displaying similar documents to “A strong relaxation theorem for maximal monotone differential inclusions with memory”
Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side
Multivalued -Liénard systems.
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
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On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
Adel Mahmoud Gomaa (2012)
Czechoslovak Mathematical Journal
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We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due...
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
L. H. Erbe, W. Krawcewicz (1991)
Annales Polonici Mathematici
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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Extremal solutions and relaxation for second order vector differential inclusions
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)
Archivum Mathematicum
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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).