Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations

被引：10

作者：

Carlson, Dean A. ^{[1
]}

Leitmann, George ^{[2
]}

机构：

[1] Amer Math Soc, Math Reviews, Ann Arbor, MI 48103 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 1-3期

关键词：

field of extremals; sufficient conditions; direct method;

D O I：

10.1007/s10898-007-9171-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper we present an elementary proof of a classical sufficient condition for free problems in the calculus of variations using an extension of the direct sufficiency method, originating in the work of G. Leitmann (Int. J. NonLin. Mech. 2, 55-59 (1967)), found in D.A. Carlson (J. Optim. Theory Appl. 114, 345-362 (2002)).

引用

页码：41 / 50

页数：10

共 50 条

[1] Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations
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[2] Fields of Extremals and Sufficient Conditions for the Simplest Problem of the Calculus of Variations in n-Variables
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