Necessary Conditions of Optimality for Calculus of Variations Problems with Inequality Constraints

被引：0

作者：

Lopes, Sofia O. ^{[1
]}

Fontes, Fernando A. C. C. ^{[2
]}

机构：

[1] Univ Minho, CMAT, Dept Math Sci & Technol, P-4800058 Guimaraes, Portugal

[2] Univ Porto, Fac Engn, ISR-Porto, P-4100 Porto, Portugal

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷

关键词：

calculus of variations; necessary conditions of optimality; state constraints; degeneracy;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary Conditions of Optimality (NCO) play an important role in the characterization of and search for solutions of Optimization Problems. They enable us to identify a small set of candidates to local minimizers among the overall set of admissible solutions. However, in constrained optimization problems it may happen that necessary conditions of optimality are merely state a relation between the constraints and do not use the objective function to select candidates to minimizers. To avoid this phenomenon, it is necessary to strengthened the NCO. Here, we overview and describe strengthened forms NCO for calculus of variations with inequality constraints.

引用

页码：1382 / +

页数：2

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