A global inversion theorem for functions with singular points

Piotr Fijałkowski

doi:10.3934/dcdsb.2018011

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2018, Volume 23, Issue 1: 173-180. Doi: 10.3934/dcdsb.2018011

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A global inversion theorem for functions with singular points

Piotr Fijałkowski

Podhalańska Państwowa Wyższa Szkoła Zawodowa w Nowym Targu, ul. Kokoszków 71, 34-400 Nowy Targ, Poland

Received: July 2016

Revised: May 2017

Published online: January 2018

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Abstract

In this paper, we consider a certain theorem on the global invertibility of a $C^{2n+1}$-mapping between Banach spaces with a singular point in which the derivatives of order up to $2n$ vanish. The theorem is illustrated by several applications.

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Mathematics Subject Classification: Primary: 46B03; Secondary: 47G20, 47J05.

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References

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