MATHEMATICS

On the existence and estimates of inverse functions in the degenerate case

A. V. Arutyunov, S. E. Zhukovskiy

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: The paper presents conditions for the existence of solutions in terms of $\lambda$-shortenings of the mapping $F$ in a neighborhood of the point $\bar{x}$.

Keywords: inverse function, $\lambda$-truncation, abnormal point.

UDC: 517.275

Presented: A. A. Shananin
Received: 09.02.2024
Revised: 03.06.2024
Accepted: 03.06.2024

DOI: 10.31857/S2686954324030165

 English version: Doklady Mathematics, 2024, 109:3, 271–274

Bibliographic databases:

•