A new topological degree theory for densely defined quasibounded -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.
Kartsatos, Athanassios G., Skrypnik, Igor V. (2005)
Abstract and Applied Analysis
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Kartsatos, Athanassios G., Skrypnik, Igor V. (2005)
Abstract and Applied Analysis
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Lan, Heng-You (2006)
Journal of Inequalities and Applications [electronic only]
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Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)
Czechoslovak Mathematical Journal
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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form . In this problem the maximal monotone term is required to be defined everywhere in the state space . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form . In this...
Khan, Firdosh, Salahuddin (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Jitpeera, Thanyarat, Kumam, Poom (2011)
Journal of Inequalities and Applications [electronic only]
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Ibaraki, Takanori, Kimura, Yasunori, Takahashi, Wataru (2003)
Abstract and Applied Analysis
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Chidume, C.E., Zegeye, H. (2005)
Fixed Point Theory and Applications [electronic only]
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Aoyama, Koji, Kohsaka, Fumiaki (2010)
Fixed Point Theory and Applications [electronic only]
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W. Feng, Jeffrey Ronald Leslie Webb (1997)
Commentationes Mathematicae Universitatis Carolinae
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Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently...