Oscillation results for matrix differential systems with damping

By introducing a class of new parameter functions Φ(t, s, r), we establish some new oscillation criteria in terms of the coefficients for the matrix differential system with damping (P(t)Y′)′ + R(t)Y′ + Q(t)Y = 0 under the hypothesis H: P(t) = P*(t) > 0, Q(t) = Q*(t) and R(t) = R*(t) are n × n matrices of real valued continuous functions on the interval [t0, ∞). Our results are not contained in known ones.