Oscillation of linear Hamiltonian systems

Meng, Fanwei; Mingarelli, Angelo

doi:10.1090/S0002-9939-02-06614-5

Oscillation of linear Hamiltonian systems
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by Fanwei Meng and Angelo B. Mingarelli

Proc. Amer. Math. Soc. 131 (2003), 897-904

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

Published electronically: July 25, 2002

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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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