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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Nonoscillation theorems for a nonlinear differential equation
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by H. E. Gollwitzer
Proc. Amer. Math. Soc. 26 (1970), 78-84
DOI: https://doi.org/10.1090/S0002-9939-1970-0259243-3

Abstract:

This paper is concerned with the problem of specifying growth conditions on the positive function $q(t)$ which imply that all solutions of the nonlinear second order ordinary differential equation $y'' + q(t)|y{|^\alpha }\operatorname {sgn} y = 0,\alpha > 0$, are nonoscillatory on a half line. Several different results are given, and the usual explicit monotonicity condition on $q$ has been avoided to a certain degree.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 78-84
  • MSC: Primary 34.42
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259243-3
  • MathSciNet review: 0259243