Remark to the main problem of calculus of variations (Q2062075)
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scientific article; zbMATH DE number 7450541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remark to the main problem of calculus of variations |
scientific article; zbMATH DE number 7450541 |
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Remark to the main problem of calculus of variations (English)
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22 December 2021
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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.
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main variational problem
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Euler problem
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reinforced Legendre condition
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Jacobi equation
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Steklov inequality
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sufficient condition of extremum
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