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Transactions of the American Mathematical Society

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

 

 

Singular quadratic functionals


Authors: Marston Morse and Walter Leighton
Journal: Trans. Amer. Math. Soc. 40 (1936), 252-286
MSC: Primary 49R50; Secondary 58E30
MathSciNet review: 1501873
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  • [1] Ludwig Bieberbach, Theorie der Differentialgleichungen, 3rd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 6, Springer-Verlag, Berlin-New York, 1979 (German). MR 635445
  • [1] George D. Birkhoff, A simplified treatment of the regular singular point, Trans. Amer. Math. Soc. 11 (1910), no. 2, 199–202. MR 1500860, 10.1090/S0002-9947-1910-1500860-4
  • [1] Bôcher, Maxime. Leçons sur les méthodes de Sturm, Paris, Gauthier-Villars, 1917.
  • [1] Hardy, G. H., Littlewood, J. E., Pólya, G. Inequalities, Cambridge, University Press, 1934.
  • [1] Kemble, E. C. Note on the Sturm-Liouville eigenvalue-eigenfunction problem with singular end-points, Proceedings of the National Academy of Sciences, vol. 19 (1933), pp. 710-714.
  • [1] de la Vallée Poussin, Ch.-J. Analyse Infinitésimale, Tome I, Louvain, 1914.
  • [1] Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874

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DOI: https://doi.org/10.1090/S0002-9947-1936-1501873-7
Article copyright: © Copyright 1936 American Mathematical Society