Necessary optimality conditions for the calculus of variations on time scales
Optimization and Control
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta derivatives of more than the first order, and (ii) problems of the calculus of variations with delta-differential side conditions (Lagrange problem of the calculus of variations on time scales).
Keywords
Cite
@article{arxiv.0704.0656,
title = {Necessary optimality conditions for the calculus of variations on time scales},
author = {Rui A. C. Ferreira and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0704.0656},
year = {2007}
}
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20 pages