New oscillation criteria for linear matrix Hamiltonian systems

Some new oscillation criteria are established for the matrix linear Hamiltonian system X = A(t)X + B(t)Y, Y = C(t)X − A∗(t)Y under the hypothesis: A(t), B(t) = B∗(t ) > 0, and C(t) = C∗(t ) are n × n real continuous matrix functions on the interval [t0,∞), (−∞< t0). These results are sharper than some previous results even for self-adjoint second order matrix differential systems.  2003 Elsevier Science (USA). All rights reserved