Existence and uniqueness of solutions for higher-order three-point boundary value problems.
Pei, Minghe, Chang, Sung Kag (2009)
Boundary Value Problems [electronic only]
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Pei, Minghe, Chang, Sung Kag (2009)
Boundary Value Problems [electronic only]
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Yang, Fenglin, Zhang, Chuanyi (2010)
Boundary Value Problems [electronic only]
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Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2004)
Abstract and Applied Analysis
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Papalini, Francesca (2007)
Abstract and Applied Analysis
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Luisa Moschini (2005)
Annales de l'I.H.P. Analyse non linéaire
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Cooper, Randolph G. III jun. (2007)
International Journal of Mathematics and Mathematical Sciences
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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).
Ralf Bader, Nikolaos Papageorgiou (2000)
Annales Polonici Mathematici
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We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of...
Jachymski, Jacek (2004)
Fixed Point Theory and Applications [electronic only]
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