Multivalued -Liénard systems.
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
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Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
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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...
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.
Diego Averna, Gabriele Bonanno (1999)
Annales Polonici Mathematici
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Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)
Archivum Mathematicum
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We consider first order periodic differential inclusions in . The presence of a subdifferential term incorporates in our framework differential variational inequalities in . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.