By using monotone functionals, the function class of the form and a generalized matrix Riccati substitution, the authors establish some new and general interval oscillation criteria for the selfadjoint matrix Hamiltonian system
Several interesting examples are included to illustrate the versatility of the results obtained.
It is worth noting that the function class of the form introduced the referee [Arch. Math. 76, 385–390 (2001; Zbl 0989.34024) and its usage was explained in J. Math. Anal. Appl. 295, 40–54 (2004; Zbl 1058.34038)]. Also, an earlier related paper on interval criteria for oscillation of second-order matrix differential systems gave the referee [J. Math. Anal. Appl. 276, 373–395 (2002; Zbl 1022.34032)].