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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems
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by Jiangang Qi, Bing Xie and Shaozhu Chen PDF
Proc. Amer. Math. Soc. 144 (2016), 547-559 Request permission

Abstract:

The present paper gives a priori upper and lower bounds on non-real eigenvalues of regular indefinite Sturm-Liouville problems only under the integrability conditions. More generally, a lower bound on non-real eigenvalues of the self-adjoint operator in Krein space is obtained.
References
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Additional Information
  • Jiangang Qi
  • Affiliation: Department of Mathematics, Shandong University, Weihai 264209, People’s Republic of China
  • Email: qijiangang@sdu.edu.cn
  • Bing Xie
  • Affiliation: Department of Mathematics, Shandong University, Weihai 264209, People’s Republic of China
  • MR Author ID: 943304
  • Email: xiebing@sdu.edu.cn
  • Shaozhu Chen
  • Affiliation: Department of Mathematics, Shandong University, Weihai 264209, People’s Republic of China
  • MR Author ID: 230820
  • Email: szchen@sdu.edu.cn
  • Received by editor(s): September 28, 2014
  • Received by editor(s) in revised form: December 22, 2014
  • Published electronically: July 29, 2015
  • Additional Notes: The first author was supported in part by the NSF of Shandong Province Grant #ZR2012AM002, and the NSF of China Grants #11471191 and #11101241.
    The second author is the corresponding author
    The third author was supported in part by the NSF of China Grant #11271229 and the SFPIP of Shandong Province Grant #201301010.
  • Communicated by: Nimish Shah
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 547-559
  • MSC (2010): Primary 34B24, 34L15; Secondary 47B50
  • DOI: https://doi.org/10.1090/proc/12854
  • MathSciNet review: 3430833