Existence of real solutions of nonlinear equations without a priori normality assumptions
type: Item
instance of: scholarly article
title: Existence of real solutions of nonlinear equations without a priori normality assumptions
zbMATH Open document ID: 1481.26010
DOI: 10.1134/S0001434621010016
published in: Mathematical Notes
publication date: 2021-07-08T00:00:00Z
Mathematics Subject Classification ID: 26B10
zbMATH DE Number: 7369671
zbMATH Keywords: abnormal point
zbMATH Keywords: nonlinear equation
zbMATH Keywords: real solution
zbMATH Keywords: truncation
zbMATH Keywords: directional regularity
author: A. V. Arutyunov
MaRDI profile type: Publication
Wikidata QID: Q114616303
cites work: Theorems on estimates in the neighborhood of a singular point of a mapping
cites work: The method of gradient descent for minimizing non-convex functions
cites work: Implicit function theorem as a realization of the Lagrange principle. Abnormal points
cites work: Implicit-function theorem on the cone in a neighborhood of an irregular point
cites work: An investigation of smooth maps in a neighbourhood of an abnormal point
cites work: Smooth abnormal problems in extremum theory and analysis
cites work: On real solutions of systems of equations
cites work: Investigation of the sets of real solutions of non-linear equations
cites work: Q5579945
cites work: Q4389339
cites work: On the parametrization of an algebraic curve
cites work: An implicit function theorem for inclusions defined by close mappings
cites work: Tangent vectors to a zero set at abnormal points.
full work available at URL: s0001434621010016
OpenAlex ID: W3181805265
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description: scientific article; zbMATH DE number 7369671