The Riccati equation method and an approach of the use of unknown factors is used to establish oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations. A necessary condition for Lyapunov (asymptotic) stability for these systems is obtained.
On the oscillation of linear matrix Hamiltonian systems
Oscillation criteria for second order linear systems of ordinary differential equations
A non oscillation criterion for extended quasi linear Hamiltonian systems
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