P-order necessary and suffcient conditions for optimality in singular calculus of variations

Prusińska, Agnieszka; Tretyakov, А. А.

doi:10.7151/dmdico.1124

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Proof1

Elements Of P-regularity Theory1

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2013

2024

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Cited by 5 publications

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“…The proof of this theorem is very similar to the one of analogous result for the singular isoperimetric problem, see in [4], [5]. Consider again the Example 1 and (4)-(5).…”

Section: Proofsupporting

confidence: 52%

See 1 more Smart Citation

p-th Order Optimality Conditions for Singular Lagrange Problem in Calculus of Variations. Elements of p-Regularity Theory

Prusińska

Szczepanik

Tretyakov

2013

IFIP Advances in Information and Communication Technology

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This paper is devoted to singular calculus of variations problems with constraints which are not regular mappings at the solution point, e.i. its derivatives are not surjective. We pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we present necessary conditions for optimality in singular case and illustrate our results by classical example of calculus of variations problem.

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“…The proof of this theorem is very similar to the one of analogous result for the singular isoperimetric problem, see in [4], [5]. Consider again the Example 1 and (4)-(5).…”

Section: Proofsupporting

confidence: 52%

“…Let us recall the p-order necessary and sufficient optimality conditions for degenerate optimization problems (see [1]- [5]):…”

Section: Elements Of P-regularity Theorymentioning

confidence: 99%