The Riccati equation method is used to study the oscillatory behavior of solutions of linear matrix Hamiltonian systems. A unitary transformation approach is used to break the positive definiteness restriction imposed on one of coefficients of the Hamiltonian system.
On the oscillation of linear matrix Hamiltonian systems
A non oscillation criterion for extended quasi linear Hamiltonian systems
Oscillatory and non oscillatory criteria for linear four dimensional hamiltonian systems
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