2007•arXiv (Cornell University)Open access

Necessary optimality conditions for the calculus of variations on time scales

Rui A. C. Ferreira, Delfim F. M. Torres

Abstract

We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta derivatives of more than the first order, and (ii) problems of the calculus of variations with delta-differential side conditions (Lagrange problem of the calculus of variations on time scales).

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Key concepts: Calculus (dental), Mathematics, Applied mathematics, Mathematical economics, Computer science, Medicine, Dentistry