Fractured Solutions in the Calculus of Variations

被引：1

作者：

McAllister, G. T. ^{[1
]}

Rohde, S. M. ^{[2
]}

机构：

[1] Lehigh Univ, Ctr Appl Math, Bethlehem, PA 18015 USA

[2] Gen Motors Res Labs, Mech Res Dept, Warren, MI USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 11卷 / 05期

关键词：

D O I：

10.1007/BF00935661

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：

We derive necessary conditions and sufficient conditions for a strong minimum of a variational problem over a class of functions which allow for a finite number of fractures (simple discontinuities) in the dependent variable. Our analysis is applicable, with some modification, to variational problems which arise in the optimization of hydrodynamically lubricated bearings.

引用

页码：480 / 493

页数：14

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