Multiobjective fractional variational problem on higher-order jet bundles

被引：24

作者：

Treanţă S. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Faculty of Applied Sciences, University “Politehnica” of Bucharest, 313 Splaiul Independentei, Bucharest

来源：

Communications in Mathematics and Statistics | 2016年 / 4卷 / 3期

关键词：

(Normal) efficient solution; Efficiency; Higher-order jet bundle; Multiobjective fractional variational problem;

D O I：

10.1007/s40304-016-0087-0

中图分类号：

学科分类号：

摘要：

The main goal of this paper is to introduce necessary efficiency conditions for a class of multi-time vector fractional variational problems with nonlinear equality and inequality constraints involving higher-order partial derivatives. We consider the multi-time multiobjective variational problem (MFP) of minimizing a vector of path-independent curvilinear integral functionals quotients subject to PDE and/or PDI constraints, developing an optimization theory on the higher-order jet bundles. © School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag Berlin Heidelberg 2016.

引用

页码：323 / 340

页数：17

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