Displaying similar documents to “The Converse To An Ascoli's Type Theorem”

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 [ 0 , 1 ] . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.