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Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces

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We obtain a global (atypical) bifurcation result for a semilinear inclusion problem in Banach spaces. The approach is topological, making use of a topological degree introduced by the second author… Click to show full abstract

We obtain a global (atypical) bifurcation result for a semilinear inclusion problem in Banach spaces. The approach is topological, making use of a topological degree introduced by the second author for locally compact multivalued perturbations of nonlinerar Fredholm maps. We also study some specific aspects of the construction of this concept of degree.

Keywords: banach spaces; fredholm maps; atypical bifurcation; multivalued perturbations; topological degree

Journal Title: Fixed Point Theory
Year Published: 2017

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