A new sufficiency theorem for strong minima in the calculus of variations

被引：3

作者：

Rosenblueth, JF ^{[1
]}

Licea, GS ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, IIMAS, Mexico City 01000, DF, Mexico

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 11期

关键词：

calculus of variations; the strengthened condition of Weierstrass; strong local minima;

D O I：

10.1016/j.aml.2005.02.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficiency for strong local optimality in the calculus of variations involves, in the classical theory, the strengthened condition of Weierstrass. A proof of sufficiency for strong minima, modifying this condition under certain uniform continuity assumptions on the functions delimiting the problem, is presented. The proof is direct in nature as it makes no use of fields, Hamilton-Jacobi theory, Riccati equations or conjugate points. Some examples illustrate clear advantages of the new sufficient condition over the classical one. (c) 2005 Published by Elsevier Ltd

引用

页码：1239 / 1246

页数：8

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