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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On the location of zeros of oscillatory solution
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by H. Gingold
Trans. Amer. Math. Soc. 279 (1983), 471-496
DOI: https://doi.org/10.1090/S0002-9947-1983-0709564-6

Abstract:

The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity. The same asymptotic formula suggested is applicable to the neighbourhood of most types of singularities as well as to the neighbourhoods of regular points.
References
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Bibliographic Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 279 (1983), 471-496
  • MSC: Primary 34C10
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0709564-6
  • MathSciNet review: 709564