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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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On the number of the negative eigenvalues on a finite compact metric tree
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by Mohammed El Aïdi;
Proc. Amer. Math. Soc. 152 (2024), 3027-3033
DOI: https://doi.org/10.1090/proc/16822
Published electronically: April 23, 2024

Abstract:

The purpose of the present article is to provide an upper bound of the number of the negative eigenvalues of a generalized Schrödinger operator defined on a finite compact metric tree.
References
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Bibliographic Information
  • Mohammed El Aïdi
  • Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, sede Bogotá, Avenida carrera 30 número 45-03, Edificio 404, Bogotá, D.C. Colombia
  • MR Author ID: 623049
  • ORCID: 0000-0002-3032-0879
  • Email: melaidi@unal.edu.co
  • Received by editor(s): September 17, 2023
  • Received by editor(s) in revised form: October 7, 2023, and February 12, 2024
  • Published electronically: April 23, 2024
  • Communicated by: Nageswari Shanmugalingam
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3027-3033
  • MSC (2020): Primary 35P15, 35R02, 58J50; Secondary 34B45, 81Q35
  • DOI: https://doi.org/10.1090/proc/16822
  • MathSciNet review: 4753285