任意时间尺度上变分法的逆问题
最优化与控制
2014-05-07 v1
摘要
我们考虑任意时间尺度上变分泛函的逆极值问题。利用 Euler-Lagrange 方程和强化的 Legendre 条件，我们推导出了在向量空间给定点处取得局部极小值的变分泛函的一般形式。
引用
@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}
}
备注
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