The isoperimetric problem of Bolza with finite side conditions

Author:
J. Ernest Wilkins Jr.

Journal:
Bull. Amer. Math. Soc. **53** (1947), 1151-1155

DOI:
https://doi.org/10.1090/S0002-9904-1947-08934-5

MathSciNet review:
0023464

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References | Additional Information

**1.**J. W. Bower,*The problem of Lagrange with finite side conditions*, Contributions to the Calculus of Variations, 1933-1937, University of Chicago Press.**2.**M. J. Cox,*On necessary conditions for relative minima*, Amer. J. Math. vol. 66 (1944) pp. 170-198. MR**11161****3.**M. R. Hestenes,*The Weierstrass E-function in the calculus of variations*, Trans. Amer. Math. Soc. vol. 60 (1946) pp. 51-71. MR**17478****4.**M. R. Hestenes,*Theorem of Lindeberg in the calculus of variations*, ibid. pp. 72-92. MR**17479****5.**M. R. Hestenes,*Sufficient conditions for the isoperimetric problem of Bolza in the calculus of variations*, ibid. pp. 93-118. MR**17480****6.**E. J. McShane,*Multipliers for Lagrange problems*, Amer. J. Math. vol. 61 (1939) pp. 809-819. MR**462****7.**E. J. McShane,*Sufficient conditions for a weak relative minimum in the problem of Bolza*, Trans. Amer. Math. Soc. vol. 52 (1942) pp. 344-379. MR**6828**

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1947-08934-5