Optimality conditions for the calculus of variations with higher-order delta derivatives

Autor:	Rui A. C. Ferreira, Delfim F. M. Torres, Agnieszka B. Malinowska
Rok vydání:	2011
Předmět:	Delta Higher-order delta derivatives Multivariable calculus Applied Mathematics 010102 general mathematics 49K05 26E70 34N05 Euler–Lagrange equation Fundamental lemma of calculus of variations Time-scale calculus 01 natural sciences 010101 applied mathematics Optimization and Control (math.OC) Legendre–Clebsch condition Arbitrary time scales FOS: Mathematics Calculus Order (group theory) Calculus of variations 0101 mathematics Mathematics - Optimization and Control Mathematics
Zdroj:	Applied Mathematics Letters. 24(1):87-92
ISSN:	0893-9659
DOI:	10.1016/j.aml.2010.08.023
Popis:	We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-order delta derivatives. Comment: Submitted 26/Jul/2009; Revised 04/Aug/2010; Accepted 09/Aug/2010; for publication in "Applied Mathematics Letters"
Databáze:	OpenAIRE
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