Remark to the main problem of calculus of variations
type: Item
instance of: scholarly article
title: Remark to the main problem of calculus of variations
zbMATH Open document ID: 1479.49006
DOI: 10.1134/S1995080221120131
author: K. G. Garaev
published in: Lobachevskii Journal of Mathematics
publication date: 2021-12-22T00:00:00Z
review text: A new sufficient condition is obtained for the existence of a weak minimum of a functional that arises in the calculus of variations. In contrast to the classical approach, the Jacobi equation doesn't need to be integrated, which is more convenient than the Jacobi method.
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 7450541
zbMATH Keywords: main variational problem
zbMATH Keywords: Euler problem
zbMATH Keywords: reinforced Legendre condition
zbMATH Keywords: Jacobi equation
zbMATH Keywords: Steklov inequality
zbMATH Keywords: sufficient condition of extremum
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
cites work: Q5332396
cites work: Q3253343
full work available at URL: s1995080221120131
OpenAlex ID: W4200340167
description: scientific article; zbMATH DE number 7450541