Fields of Extremals and Sufficient Conditions for the Simplest Problem of the Calculus of Variations in n-Variables

DOI10.1007/978-0-387-95857-6_5zbMath1182.49019OpenAlexW124397955MaRDI QIDQ3407682

Dean A. Carlson, George Leitmann

Publication date: 4 March 2010

Published in: Variational Analysis and Aerospace Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-95857-6_5

zbMATH Keywords

calculus of variationscoordinate transformationsCarathéodory's equivalent problem methodextrema (minimizers or maximizers) of integralsWeierstrass' sufficiency theorem

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Contrasting two transformation-based methods for obtaining absolute extrema ⋮ Fields of Extremals and Sufficient Conditions for a Class of Open-Loop Variational Games

Cites Work

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• A note on absolute extrema of certain integrals
• On a class of direct optimization problems
• Coordinate transformations and derivation of open-loop Nash equilibria
• Some extensions to a direct optimization method

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