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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials
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by Miklós Horváth and Márton Kiss PDF
Proc. Amer. Math. Soc. 134 (2006), 1425-1434 Request permission

Abstract:

For Schrödinger operators with nonnegative single-well potentials ratios of eigenvalues are extremal only in the case of zero potential. To prove this, we investigate some monotonicity properties of Prüfer-type variables.
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Additional Information
  • Miklós Horváth
  • Affiliation: Department of Mathematical Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H 1111 Budapest, Műegyetem rkp. 3-9, Hungary
  • Email: horvath@math.bme.hu
  • Márton Kiss
  • Affiliation: Department of Mathematical Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H 1111 Budapest, Műegyetem rkp. 3-9, Hungary
  • Email: mkiss@math.bme.hu
  • Received by editor(s): December 5, 2003
  • Received by editor(s) in revised form: December 10, 2004, and December 14, 2004
  • Published electronically: October 13, 2005
  • Additional Notes: This research was supported by the Hungarian NSF Grants OTKA T 32374, T 37491 and T 47035
  • Communicated by: Carmen C. Chicone
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 1425-1434
  • MSC (2000): Primary 34L15, 34B24
  • DOI: https://doi.org/10.1090/S0002-9939-05-08100-1
  • MathSciNet review: 2199189