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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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Oscillation of linear Hamiltonian systems
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by Fanwei Meng and Angelo B. Mingarelli PDF
Proc. Amer. Math. Soc. 131 (2003), 897-904 Request permission

Abstract:

We establish new oscillation criteria for linear Hamiltonian systems using monotone functionals on a suitable matrix space. In doing so we develop new criteria for oscillation involving general monotone functionals instead of the usual largest eigenvalue. Our results are new even in the particular case of self-adjoint second order differential systems.
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Additional Information
  • Fanwei Meng
  • Affiliation: Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, People’s Republic of China
  • Email: fwmeng@qfnu.edu.cn
  • Angelo B. Mingarelli
  • Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
  • Received by editor(s): October 19, 2001
  • Published electronically: July 25, 2002
  • Additional Notes: This research was supported by the NSF of China (10071043) and Shandong Province (FWM) and NSERC Canada (ABM)
  • Communicated by: Carmen C. Chicone
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 897-904
  • MSC (2000): Primary 34A30, 34C10
  • DOI: https://doi.org/10.1090/S0002-9939-02-06614-5
  • MathSciNet review: 1937428