An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales
Optimization and Control
2014-05-07 v1
Abstract
We consider an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variational functional that attains a local minimum at a given point of the vector space.
Keywords
Cite
@article{arxiv.1401.8232,
title = {An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales},
author = {Monika Dryl and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1401.8232},
year = {2014}
}
Comments
This is a preprint of a paper whose final and definite form will appear in International Journal of Difference Equations, ISSN 0973-6069 (See http://campus.mst.edu/ijde). Submitted Nov 27, 2013; Revised Jan 24, 2014; Accepted Jan 31, 2014