Functional differential inclusions with integral boundary conditions.
Benchohra, M., Hamani, S., Henderson, J. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Benchohra, M., Hamani, S., Henderson, J. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [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.
Nikolaos S. Papageorgiou (1988)
Commentationes Mathematicae Universitatis Carolinae
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Avramescu, Cezar (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gennaro Infante, Paolamaria Pietramala (2009)
Commentationes Mathematicae Universitatis Carolinae
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We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.
Papageorgiou, Nikolaos S. (1991)
Commentationes Mathematicae Universitatis Carolinae
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Moussaoui, Toufik, Szymánska-Dȩbowska, Katarzyna (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Benchohra, M., Ntouyas, S. K. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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