Differential, integral, and variational delta-embeddings of Lagrangian systems
arXiv:1203.0264 · doi:10.1016/j.camwa.2012.03.003
Abstract
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.
Submitted: Jul 16 2011; Accepted Mar 1 2012; to Computers and Mathematics with Applications