Existence of real solutions of nonlinear equations without a priori normality assumptions

DOI10.1134/S0001434621010016zbMath1481.26010OpenAlexW3181805265WikidataQ114616303 ScholiaQ114616303MaRDI QIDQ2037619

Aram V. Arutyunov

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010016

zbMATH Keywords

truncationnonlinear equationreal solutionabnormal pointdirectional regularity

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (max. 100)

Stable solvability of nonlinear equations under completely continuous perturbations ⋮ Stability of real solutions to nonlinear equations and its applications ⋮ Implicit function theorem in a neighborhood of an abnormal point

Cites Work

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• Implicit function theorem as a realization of the Lagrange principle. Abnormal points
• Smooth abnormal problems in extremum theory and analysis
• An investigation of smooth maps in a neighbourhood of an abnormal point
• Investigation of the sets of real solutions of non-linear equations

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