Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The conjugacy function
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by Walter Leighton
Proc. Amer. Math. Soc. 24 (1970), 820-823
DOI: https://doi.org/10.1090/S0002-9939-1970-0257464-7

Abstract:

The conjugacy function $\delta (x)$ of the differential equation $y'' + p(x)y = 0$ is defined as the distance from a point $x$ to its first conjugate point. Conditions that $\delta (x)$ be convex or concave are given, as well as conditions that $\delta (x)$ be an increasing or decreasing function. The lemma provides a novel type of comparison theorem.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 24 (1970), 820-823
  • MSC: Primary 34.42
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0257464-7
  • MathSciNet review: 0257464