Oscillation of linear Hamiltonian systems

Authors:
Fanwei Meng and Angelo B. Mingarelli

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

Published electronically:
July 25, 2002

MathSciNet review:
1937428

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Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0002-9939-02-06614-5

Keywords:
Oscillation,
Hamiltonian systems,
monotone functionals

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

Article copyright:
© Copyright 2002
American Mathematical Society