arXiv subjects

Natália Martins

Publications and source records attributed to Natália Martins.

2 recordsLinked to original sources

arXiv2015

Variational problems for Holderian functions with free terminal point

We develop the new variational calculus introduced in 2011 by J. Cresson and I. Greff, where the classical derivative is substituted by a new complex operator called the scale derivative. In this paper we consider several nondifferentiable variational problems with free terminal point: with and without constraints, of first and higher-order type.

math.DS↗

arXiv2014

The second Noether theorem on time scale

We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for the $h$-calculus and the second Noether theorem for the $q$-calculus.

math.OC↗