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Sufficient conditions for a problem of Mayer in the calculus of variations


Authors: G. A. Bliss and M. R. Hestenes
Journal: Trans. Amer. Math. Soc. 35 (1933), 305-326
MSC: Primary 49K05
DOI: https://doi.org/10.1090/S0002-9947-1933-1501685-1
MathSciNet review: 1501685
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  • [I] Kneser, Lehrbuch der Variationsrechnung, Braunschweig, 1900, pp. 227-261.
  • [II] Egorov, Die hinreichenden Bedingungen des Extremums in der Theorie des Mayerschen Problems, Mathematische Annalen, vol. 62 (1906), pp. 371-380. MR 1511381
  • [III] Bolza, Über den anormalen Fall beim Lagrangeschen und Mayerschen Problem mit gemischten Bedingungen und variablen Endpunkten, Mathematische Annalen, vol. 74 (1913), pp. 430-446. MR 1511773
  • [IV] Goursat, A Course in Mathematical Analysis, translated by Hedrick and Dunkel, vol. 2, Part 2.
  • [V] Bliss, The problem of Mayer with variable end points, these Transactions, vol. 19 (1918), pp. 305-314. MR 1501104
  • [VI] Larew, Necessary conditions in the problem of Mayer in the calculus of variations, these Transactions, vol. 20 (1919), pp. 1-22. MR 1501112
  • [VII] Larew, The Hilbert integral and Mayer fields for the problem of Mayer in the calculus of variations, these Transactions, vol. 26 (1924), pp. 61-67. MR 1501264
  • [VIII] Kneser, Lehrbuch der Variationsrechnung, 2d edition, Braunschweig, 1925, pp. 240-304.
  • [IX] Bliss, The problem of Lagrange in the calculus of variations, American Journal of Mathematics, vol. 52 (1930), pp. 673-742.
  • [X] Morse and Myers, The problems of Lagrange and Mayer with variable end points, Proceedings of the American Academy of Arts and Sciences, vol. 66 (1931), pp. 235-253.
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  • [XII] Bliss, The problem of Bolza in the calculus of variations, Annals of Mathematics, vol. 33 (1932), pp. 261-274. MR 1503050

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DOI: https://doi.org/10.1090/S0002-9947-1933-1501685-1
Article copyright: © Copyright 1933 American Mathematical Society

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