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arXiv:1203.0264 [math.OC]AbstractReferencesReviewsResources

Differential, integral, and variational delta-embeddings of Lagrangian systems

Jacky Cresson, Agnieszka B. Malinowska, Delfim F. M. Torres

Published 2012-03-01Version 1

We introduce the differential, integral, and variational delta-embeddings. We prove that the integral delta-embedding of the Euler-Lagrange equations and the variational delta-embedding coincide on an arbitrary time scale. In particular, a new coherent embedding for the discrete calculus of variations that is compatible with the least action principle is obtained.

Comments: Submitted: Jul 16 2011; Accepted Mar 1 2012; to Computers and Mathematics with Applications
Journal: Comput. Math. Appl. 64 (2012), no. 7, 2294--2301
Categories: math.OC
Subjects: 34N05, 49K05, 49S05
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