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The general double integral problem in the calculus of variations

Published online by Cambridge University Press:  24 October 2008

R. P. Gillespie
R. P. Gillespie
Affiliation:
St John's College
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Extract

In a previous paper in these Proceedings the problem of the double integral

was discussed when the function F had the form

where

It is proposed in the present paper to extend the method to the general problem, where F may have any form provided only that it satisfies the necessary condition of being homogeneous of the first degree in A, B, C.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 29 , Issue 2 , May 1933 , pp. 207 - 211
Copyright
Copyright © Cambridge Philosophical Society 1933

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References

* Gillespie, , Proc. Camb. Phil. Soc., 28 (1932), 442–454.CrossRefGoogle Scholar

* Gillespie, loc. cit., 449.

* Gillespie, loc. cit., 450–454.