Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

A system of ordinary linear differential equations with two-point boundary conditions


Author: William T. Reid
Journal: Trans. Amer. Math. Soc. 44 (1938), 508-521
MSC: Primary 34B05; Secondary 34A30, 34C10, 34L99
DOI: https://doi.org/10.1090/S0002-9947-1938-1501979-4
MathSciNet review: 1501979
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Birkhoff and Hestenes, Natural isoperimetric conditions in the calculus of variations, Duke Mathematical Journal, vol. 1 (1935), pp. 198-286. MR 1545876
  • [2] Bliss, A boundary value problem for a system of ordinary linear differential equations of the first order, these Transactions, vol. 28 (1926), pp. 561-584. MR 1501366
  • [3] Bliss, Definitely self-adjoint boundary value problems, these Transactions, vol. 44 (1938), pp. 413-428. MR 1501974
  • [4] Hölder, Die Lichtensteinsche Method für die Entwicklung der zweiten Variation, angewandt auf das Problem von Lagrange, Prace Matematyczno-Fizyczne, vol. 42 (1935), pp. 307-346.
  • [5] Hu, The problem of Bolza and its accessory boundary value problem, Contributions to the Calculus of Variations 1931-1932, The University of Chicago Press, pp. 361-443.
  • [6] Ince, Ordinary Differential Equations, London, 1927.
  • [7] Morse, Sufficient conditions in the problem of Lagrange with variable end conditions, American Journal of Mathematics, vol. 53 (1931), pp. 517-546. MR 1507924
  • [8] Morse, The Calculus of Variations in the Large, American Mathematical Society Colloquium Publications, vol. 18, 1934.
  • [9] Reid, A boundary value problem associated with the calculus of variations, American Journal of Mathematics, vol. 54 (1932), pp. 769-790. MR 1506937
  • [10] Reid, Analogues of the Jacobi condition for the problem of Mayer in the calculus of variations, Annals of Mathematics, (2), vol. 35 (1934), pp. 836-848. MR 1503199
  • [11] Reid, An integro-differential boundary value problem, American Journal of Mathematics, vol. 60 (1938), pp. 257-292. MR 1507311
  • [12] Wiggin, A boundary value problem of the calculus of variations, Contributions to the Calculus of Variations 1933-1937, The University of Chicago Press, pp. 245-275.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 34B05, 34A30, 34C10, 34L99

Retrieve articles in all journals with MSC: 34B05, 34A30, 34C10, 34L99


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1938-1501979-4
Article copyright: © Copyright 1938 American Mathematical Society

American Mathematical Society