数学学报 1936, 1(1) 1-14 DOI:   cnki:ISSN:0583-1431.0.1936-Z1-000   ISSN: 0583-1431 CN: 11-2038/O1

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胡坤升
A PROBLEM WITH VARIABLE END POINTS IN THE CALCULUS OF VARIATIONS
胡坤升
National Central University,Nanking.
摘要: <正> 1.INTRODUCTION.Let g be an extremal arc with conjugateend points for the integral(?)In case n=1,the question whether or not g actually minimizes Ⅰrelative to arcs joining the ends of g has been discussed by Kneser(~1),Osgood(~2), Lindeberg(~3),and others by studying the shape of the en-velope of the extremals passing through an end point of g.In thecase n=2,Hahn(~4) has reduced the problem to that of an ordinaryminimum of a function of two variables by using a family of brokenextremals joining the ends of g.The method of Hahn is generaland can be extended in several directions as has been recently doneby Morse(~5)
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A PROBLEM WITH VARIABLE END POINTS IN THE CALCULUS OF VARIATIONS
KunSheng HU
KUEN-SEN HU National Central University,Nanking.
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收稿日期 1900-01-01 修回日期 1900-01-01 网络版发布日期  
DOI: cnki:ISSN:0583-1431.0.1936-Z1-000
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