Implicit Mapping Theorem for Singular Points

• Autorzy: Fijałkowski P.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with an implicit mapping defined by zeros of a differentiable mapping in a neighbourhood of a singular point, in which a number of partial deratives with respect to the range space of an implicit function vanishes. The main theorem is applied to the bifurcation theory, particularly to a certain version of the Lyapunov-Schmidt reduction.

Słowa kluczowe

EN

implicit mapping; singular point; local invertibility; bifurcation

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2003
• Tom: Vol. 51, nr 4
• Strony: 445--455
• Opis fizyczny: bibliogr. 10 poz.

Twórcy

autor

Fijałkowski P.

• Faculty of Mathematics, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland (Wydział Matematyki Uniwersytetu Łódzkiego)

Bibliografia

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