Titlebook: Degree Theory for Discontinuous Operators; Applications to Disc Rubén Figueroa Sestelo,Rodrigo López Pouso,Jorge R Book 2021 The Editor(s)

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https://doi.org/10.1007/978-3-663-06909-6ections. We improve an existence result for discontinuous autonomous systems due to Bressan and Shen, and we obtain the existence of extremal solutions for a first order functional differential equation under weak conditions in the nonlinear part and monotonicity with respect to the functional varia

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Die Bev?lkerung in Ost- und Westdeutschland of Carathéodory solutions between a pair of well-ordered lower and upper solutions and, moreover, we give additional conditions in order to guarantee the existence of extremal solutions. Second, we get existence results when the lower and upper solutions are not well-ordered. Finally, we present mu

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Die Bev?lkerung in Ost- und Westdeutschland Our results will rely on our generalization of Krasnosel’ski??’s fixed point theorem and its multidimensional version for multivalued maps, respectively. We also obtain multiplicity results for a kind of three point boundary value problem via our extension of Leggett–Williams’ fixed point theorem.

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Integrative Unternehmungsführungable for a wide class of operators which need not be continuous. Basically, we shall work with multivalued upper semicontinuous operators whose fixed points are also fixed points of the given discontinuous operators.

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https://doi.org/10.1007/978-3-663-06909-6ections. We improve an existence result for discontinuous autonomous systems due to Bressan and Shen, and we obtain the existence of extremal solutions for a first order functional differential equation under weak conditions in the nonlinear part and monotonicity with respect to the functional variable.

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2509-8888 istence of solutions for discontinuous problems.Presents manThis unique book contains a generalization of the Leray-Schauder degree theory which applies for wide and meaningful types of discontinuous operators. The discontinuous degree theory introduced in the first section is subsequently used to p

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