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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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Uniqueness of positive solutions of nonlinear second-order equations
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by Robert Dalmasso
Proc. Amer. Math. Soc. 123 (1995), 3417-3424
DOI: https://doi.org/10.1090/S0002-9939-1995-1301018-5

Abstract:

In this paper we study the uniqueness question of positive solutions of the two-point boundary value problem: $u''(t) + f(|t|,u(t)) = 0, - R < t < R,u( \pm R) = 0$ where $R > 0$ is fixed and $f:[0,R] \times [0,\infty ) \to \mathbb {R}$ is in ${C^1}([0,R] \times [0,\infty ))$. A uniqueness result is proved when f satisfies some appropriate conditions. Some examples illustrating our theorem are also given.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3417-3424
  • MSC: Primary 34B15; Secondary 34A12
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1301018-5
  • MathSciNet review: 1301018