Necessary conditions for the extremum in non-smooth problems of variational calculus with delay

In this article, with the help of a special variation of the Weierstrass type, the necessary condition for a minimum is obtained. As consequences, the analogue of the Weierstrass condition and its local modification, as well as the analogue of the Legendre condition are obtained.

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Publication Details

Journal
Baku Mathematical Journal
Published
2024-09-30
DOI
https://doi.org/10.32010/j.bmj.2024.13
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Necessary conditions for the extremum in non-smooth problems of variational calculus with delay

Hajieva G.M., Melikova T.K.
Baku Mathematical Journal
Differential Equations and Boundary Problems
article

Necessary conditions for the extremum in non-smooth problems of variational calculus with delay

Hajieva G.M., Melikova T.K.
article en

Abstract

In this article, with the help of a special variation of the Weierstrass type, the necessary condition for a minimum is obtained. As consequences, the analogue of the Weierstrass condition and its local modification, as well as the analogue of the Legendre condition are obtained.

Baku Mathematical JournalVol. 3(2)
Openalex Percentile: Top 67%
Differential Equations and Boundary Problems
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Necessary conditions for the extremum in non-smooth problems of variational calculus with delay — Hajieva G.M., Melikova T.K. · Baku Mathematical Journal (2024) | TGRS Research Map | TGRS