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Implicit mapping theorem for singular points - MaRDI portal

Implicit mapping theorem for singular points (Q1884208)

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scientific article; zbMATH DE number 2110500
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Implicit mapping theorem for singular points
scientific article; zbMATH DE number 2110500

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    Implicit mapping theorem for singular points (English)
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    26 October 2004
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    This paper gives a new version of the implicit mapping theorem with conditions connected with higher order derivatives in which an implicit mapping is defined in a neighborhood of a singular point of a differentiable mapping whose partial derivatives with respect to the range space of the implicit mapping vanish. The main result is applied to bifurcation problems.
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    implicit mapping
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    singular point
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    bifurcation
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