Oscillation criteria for linear matrix Hamiltonian systems

Grigorian, G.

doi:10.1090/proc/14973

Oscillation criteria for linear matrix Hamiltonian systems
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by G. A. Grigorian PDF

Proc. Amer. Math. Soc. 148 (2020), 3407-3415 Request permission

Abstract:

The Riccati equation method is used to establish two new oscillation criteria for linear matrix Hamiltonian systems in a new direction, which is to break the positive definiteness restriction imposed on one of the coefficients of the Hamiltonian system. The obtained results are compared with some known oscillatory criteria.

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