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On the Leray-Schauder formula and bifurcation - MaRDI portal

On the Leray-Schauder formula and bifurcation (Q5943395)

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scientific article; zbMATH DE number 1649250
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On the Leray-Schauder formula and bifurcation
scientific article; zbMATH DE number 1649250

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    On the Leray-Schauder formula and bifurcation (English)
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    19 September 2001
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    The author considers a system of equations with wave- and beam operators with linear coupling and damping. The essential tool in this paper is the topological degree. He obtains a new bifurcation result for a system of equations. He gives a variant of the classical result, where he replaces the eigenvalue of the differential operator by a more general set of parameters. The results given in this note are of a local nature.
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    Leray-Schauder formula
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    system of equations with wave- and beam operators
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    linear coupling and damping
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    topological degree
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    bifurcation
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