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 first instability interval for Hill equations with symmetric single well potentials
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by Min-Jei Huang
Proc. Amer. Math. Soc. 125 (1997), 775-778
DOI: https://doi.org/10.1090/S0002-9939-97-03705-2

Abstract:

For Hill equations with symmetric single well (or symmetric single barrier) potentials, the first instability interval is absent when and only when the potential is constant.
References
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Bibliographic Information
  • Min-Jei Huang
  • Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan 30043
  • Email: mjhuang@math.nthu.edu.tw
  • Received by editor(s): July 10, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 775-778
  • MSC (1991): Primary 34B30, 34L15
  • DOI: https://doi.org/10.1090/S0002-9939-97-03705-2
  • MathSciNet review: 1363425