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Transactions of the American Mathematical Society

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An alternate sufficiency proof for the normal problem of Bolza


Author: Magnus R. Hestenes
Journal: Trans. Amer. Math. Soc. 61 (1947), 256-264
MSC: Primary 49.0X
DOI: https://doi.org/10.1090/S0002-9947-1947-0020220-0
MathSciNet review: 0020220
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  • [1] G. A. Bliss, Lectures on the calculus of variations, University of Chicago Press, 1946. MR 0017881 (8:212e)
  • [2] M. R. Hestenes, Generalized problem of Bolza in the calculus of variations, Duke Math. J. vol. 5 (1939) pp. 309-324. MR 1546127
  • [3] -, The Weierstrass $ E$-function in the calculus of variations, Trans. Amer. Math. Soc. vol. 60 (1946) pp. 51-71. MR 0017478 (8:160b)
  • [4] -, Theorem of Lindeberg in the calculus of variations, Trans. Amer. Math. Soc. vol. 60 (1946) pp. 72-92. MR 0017479 (8:160c)
  • [5] -, Sufficient conditions for the isoperimetric problem of Bolza in the calculus of variations, Trans. Amer. Math. Soc. vol. 60 (1946) pp. 93-118. MR 0017480 (8:160d)
  • [6] 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 0006828 (4:48d)
  • [7] F. G. Myers, Sufficient conditions for the problem of Lagrange, Duke Math. J. vol. 10 (1943) pp. 93-97. MR 0007836 (4:200c)
  • [8] W. T. Reid, Isoperimetric problems of Bolza in nonparametric form, Duke Math. J. vol. 5 1939) pp. 675-691. MR 0000100 (1:19b)

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DOI: https://doi.org/10.1090/S0002-9947-1947-0020220-0
Article copyright: © Copyright 1947 American Mathematical Society

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