The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales
Optimization and Control
2013-06-13 v1
Abstract
We develop the calculus of variations on time scales for a functional that is the composition of a certain scalar function with the delta and nabla integrals of a vector valued field. Euler-Lagrange equations, transversality conditions, and necessary optimality conditions for isoperimetric problems, on an arbitrary time scale, are proved. Interesting corollaries and examples are presented.
Cite
@article{arxiv.1211.4368,
title = {The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales},
author = {Monika Dryl and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1211.4368},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definite form will be published in International Journal of Difference Equations (http://campus.mst.edu/ijde). Submitted Aug 27, 2012; Revised Nov 14, 2012; Accepted Nov 15, 2012