Oscillation criteria of second order nonlinear matrix differential systems

摘要

In this paper, the second order nonlinear matrix differential systems(P(t)Y′(t))′+F(t,Y(t),Y′(t))=0,t⩾t0is considered, where P(t), Y(t) and F(t,Y(t),Y′(t)) are n×n real continuous matrix functions, and P(t)>0 are positive definite and symmetric one. Some new oscillation criteria for the systems are established, and some known results in the literature are improved and generalized.