Oscillation criteria related to integral averaging technique for linear matrix Hamiltonian systems

By employing a generalized Riccati technique and an integral averaging technique, new oscillation criteria are established for the linear matrix Hamiltonian system U = A(x)U + B(x)V , V = C(x)U − A∗(x)V under the assumption that all A(x), B(x) = B∗(x) > 0, and C(x) = C∗(x) are n×n matrices of real-valued continuous functions on the interval I = [x0,∞) (−∞