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Equivalent singular points of ordinary linear differential equations

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References

  • Trans. Am. Math. Soc. 10, p. 436–470.

  • Loc. cit. Trans. Am. Math. Soc. 10 p. 446 and p. 453.

  • For these definitions see Schlesinger,Vorlesungen über lineare Differentialgleichungen, p. 181.

  • For an exposition of the elementary properties of matrices used in the present paper see Schlesinger, loc. cit.,Vorlesungen über lineare Differentialgleichungen, p. 18–19.

  • This definition is more satisfactory than the one used in my earlier paper (Trans. Am. Math. Soc., loc. cit. 10 p. 446 and p. 453.) where the functionsa ij (x) were merely restricted to be rational in character atx=∞.

  • For a complete discussion of the facts outlined here see Schlesinger, loc. cit.,Vorlesungen über lineare Differentialgleichungen, p. 90–104.

  • Schlesinger, loc. cit.,Vorlesungen über lineare Differentialgleichungen, p. 21.

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  1. Cambridge, Mass, USA

    George D. Birkhoff

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  1. George D. Birkhoff
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Birkhoff, G.D. Equivalent singular points of ordinary linear differential equations. Math. Ann. 74, 134–139 (1913). https://doi.org/10.1007/BF01455347

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