Existence of a positive solution to a right focal boundary value problem.
Avery, Richard I., Henderson, Johny, Anderson, Douglas R. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “A dual of the compression-expansion fixed point theorems.”
Existence of a positive solution to a right focal boundary value problem.
Positive fixed point of strict set contraction operators on ordered Banach spaces and applications.
Feng, Meiqiang, Zhang, Xuemei, Ge, Weigao (2010)
Abstract and Applied Analysis
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Existence of three positive solutions to nonlinear boundary value problems.
Wang, Li, Li, Jianli (2010)
Mathematical Problems in Engineering
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A new extension theorem for concave operators.
Peng, Jian-Wen, Rong, Wei-Dong, Yao, Jen-Chih (2009)
Fixed Point Theory and Applications [electronic only]
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Existence of triple positive solutions for second-order discrete boundary value problems.
Guo, Yanping, Zhang, Jiehua, Ji, Yude (2007)
Discrete Dynamics in Nature and Society
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On positive solutions of functional-differential equations in Banach spaces.
Zima, Mirosława (2001)
Journal of Inequalities and Applications [electronic only]
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On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.
Dhage, B.C. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Furi–Pera fixed point theorems in Banach algebras with applications
Smaïl Djebali, Karima Hammache (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is -Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17].
Perturbed Hammerstein integral inclusions with solutions that change sign
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.