A generalization of a minimax theorem of Fan via a theorem of the alternative |
| |
Authors: | V. Jeyakumar Ph.D. |
| |
Affiliation: | (1) Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island;(2) Present address: Institut für Dynamische Systeme, Universität Bremen, D-28, Bremen 33, West Germany |
| |
Abstract: | A minimization problem for a functional on a convex subsetC of a normed linear space is considered. Under certain hypotheses, optimality in a certain subset ofC implies the validity of first-order necessary optimality conditions for the problem inC. The result is applied to a problem in optimal periodic control of neutral functional differential equations.This work was partially supported by a grant from Deutsche Forschungsgemeinschaft and by AFOSR under Grant No. AFOSR-84-0398. |
| |
Keywords: | Optimal periodic control first-order optimality conditions neutral functional differential equations |
本文献已被 SpringerLink 等数据库收录! |
|