Oscillation criteria for linear matrix Hamiltonian systems

G. A. Grigorian · Proceedings of the American Mathematical Society · 2020

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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