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Transactions of the American Mathematical Society

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The rate of increase of real continuous solutions of certain algebraic functional equations


Author: K. L. Cooke
Journal: Trans. Amer. Math. Soc. 92 (1959), 106-124
MSC: Primary 39.00
DOI: https://doi.org/10.1090/S0002-9947-1959-0107765-8
MathSciNet review: 0107765
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  • [3] G. H. Hardy, Orders of infinity, Cambridge Tract No. 12, Cambridge University Press, 1910.
  • [4] O. E. Lancaster, Some results concerning the behavior at infinity of real continuous solutions of algebraic difference equations, Bull. Amer. Math. Soc. vol. 46 (1940) pp. 169-177. MR 0001108 (1:181e)
  • [5] E. Lindelöf, Sur la croissance des intégrales des équations différentielles algébriques du premier ordre, Bull. Soc. Math. France vol. 27 (1899) pp. 205-215. MR 1504345
  • [6] S. M. Shah, On real continuous solutions of algebraic difference equations, Bull. Amer. Math. Soc. vol. 53 (1947) pp. 548-558. MR 0022299 (9:189a)
  • [7] S. M. Shah, On real continuous solutions of algebraic difference equations, II, Proc. Nat. Inst. Sci. India vol. 16 (1950) pp. 11-17. MR 0036422 (12:105f)

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DOI: https://doi.org/10.1090/S0002-9947-1959-0107765-8
Article copyright: © Copyright 1959 American Mathematical Society

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