Nonstandard variational calculus with applications to classical mechanics. 1. An existence criterion
- Autori: Bagarello, F.
- Anno di pubblicazione: 1999
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/198801
Abstract
Using the framework of nonstandard analysis, I find the discretized version of the Euler-Lagrange equation for classical dynamical systems and discuss the existence of an extremum for a given functional in variational calculus. Some results related to the Cauchy existence theorem are obtained and discussed with various examples.