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On double integrals 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

The problem of the double integral in the calculus of variations, when expressed in the parametric notation, was first fully discussed by Kobb. In this paper Kobb finds conditions for the minimising of the double integral

taken over the surface

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 28 , Issue 4 , October 1932 , pp. 442 - 454
Copyright
Copyright © Cambridge Philosophical Society 1932

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References

* Kobb, , Acta Mathematica, 16 (1892), 65–116.CrossRefGoogle Scholar

† Radon, , Monatshefte für Math. und Physik, 22 (1911), 53–63.CrossRefGoogle Scholar

* See Kneser, , Lehrbuch der Variationsrechnung, 2nd edition (1925), 322.Google Scholar

† See Bolza, , Vorlesungen über Variationsrechnung (1909), 196.Google Scholar

* Bolza, , Vorlesungen über Variationsrechnung (1909), 666.Google Scholar

* See Kneser, loc. cit., 322.

* Bolza, loc. cit., 669.