6533b85dfe1ef96bd12be417
RESEARCH PRODUCT
Nonstandard variational calculus with applications to classical mechanics. 1. An existence criterion
Fabio Bagarellosubject
analysisSettore MAT/07 - Fisica Matematicadescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 |