High-order optimality conditions for degenerate variational problems

The paper is devoted to the class of singular calculus of variations problems with constraints which are not regular mappings at the solution point. Methods of the p-regularity theory are used for investigation of isoperimetric and Lagrange singular problems. Necessary conditions for optimality in p...

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Veröffentlicht in:	Carpathian Journal of Mathematics 2014-01, Vol.30 (3), p.387-394
Hauptverfasser:	Prusińska, Agnieszka, Szczepanik, Ewa, Tret'yakov, Alexey A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach space Calculus of variations Euler Lagrange equation Mathematical functions Mathematics Necessary conditions for optimality Sufficient conditions for optimality
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Beschreibung
Zusammenfassung:	The paper is devoted to the class of singular calculus of variations problems with constraints which are not regular mappings at the solution point. Methods of the p-regularity theory are used for investigation of isoperimetric and Lagrange singular problems. Necessary conditions for optimality in p-regular calculus of variations problem are presented.
ISSN:	1584-2851 1843-4401
DOI:	10.37193/CJM.2014.03.03