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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On multiform solutions of linear differential equations having elliptic function coefficients
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by Wilson Lee Miser PDF
Trans. Amer. Math. Soc. 17 (1916), 109-130 Request permission
References
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  • M. Elliot, Sur une équation linéaire du second ordre à coefficients doublement périodiques, Acta Math. 2 (1883), no. 1, 233–260 (French). MR 1554598, DOI 10.1007/BF02415216
  • G. Floquet, Sur les équations différentielles linéaires à coefficients doublement périodiques, Ann. Sci. École Norm. Sup. (3) 1 (1884), 181–238 (French). MR 1508741
    • E. Sjoblom: Om de entydiga integralerna till en lineer homogen differential eqvation med dubbelperiodiska koefficienter, Stockholm Öfversigt, vol. 41, no. 5 (1884), pp. 155-168; Studier inom teorim for de lineera homogena differential eqvationer, hvilkaskkoefficienter aro dubbelperiodiska funktioner, Helsingfors, (1884)$^{\ast }$, 43 pages. Th. Craig: A Treatise on Linear Differential Equations, vol. 1 (1889), pp. 52-53, 496-514. C. Bigiavi: Sopra una classe di equazioni differenziali lineari a coefficienti doppiamente periodici, Pisa Annali, vol. 6 (1889), pp. 163-252; Sulle equazioni differenziali lineari a coefficienti doppiamente periodici, Accademia dei Lincei Rendiconti (4), vol. 6 (1890), pp. 339-346; Sulla riducibilita della equazioni differenziali lineari a coefficienti doppiamente periodici, Annali di matematica (3), vol. 5 (1901), pp. 107-139. F. Bremer: Ueber lineare homogene Differentialgleichungen mit doppelt-periodischen Coefficienten, Dissertation, Giessen, (1890), 30 pages. O. Venska: Integration eines speciellen Systems linearer homogener Differentialgleichungen mit doppelt-periodischen Funktionen als Coefficienten, Göttinger Nachrichten (1891), pp. 85-88.
  • E. A. Stenberg, Über die allgemeine Form der eindeutigen integrale der linearen homogenen Differentialgleichungen, Acta Math. 15 (1891), no. 1, 259–278 (German). Mit doppeltperiodischen Coefficienten. MR 1554819, DOI 10.1007/BF02392610
    • E. Naetsch: Zur Theorie der homogenen linearen Differentialgleichungen mit doppelt-periodischen Coefficienten, Dissertation, Leipzig, (1894), 66 pages; Untersuchungen über die Reduction und Integration von Picard’schen Differentialgleichungen, Leipziger Berichte, vol. 48 (1896), pp. 1-78. C. Jordan: Cours d’Analyse, vol. 3 (1896), pp. 276-299. E. W. Barnes: A new proof of Picard’s theorem, Messenger of Mathematics, vol. 27 (1897), pp. 16-17. M. Malmberg: Om integrationen af en klass af lineara differential-ekvationer med dubbelperiodiska koefficienter, analog de s. k. Hermet’ska differential-ekvationerna, Upsala Universitets arsskrift, (1897)$^{\ast }$ and Dissertation, Upsala, 31 pages. L. Schlesinger: Handbuch des linearen Differentialgleichungen, vol. 2 (1898), pp. 403-424.
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Additional Information
  • © Copyright 1916 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 17 (1916), 109-130
  • MSC: Primary 34B30; Secondary 33E05, 34M05
  • DOI: https://doi.org/10.1090/S0002-9947-1916-1501032-5
  • MathSciNet review: 1501032