Oscillation Results for Second Order Matrix Differential Equations with Damping

Abstract

By using the positive linear functional, including the general
means and Riccati technique, some new oscillation criteria are
established for the second order matrix differential equations\\
$$
(r(t)P(t)\psi(X(t))K(X'(t)))'+p(t)R(t)\psi(X(t))K(X'(t))
$$
$$
+Q(t)F(X'(t))G(X(t))=0,t\geq t_{0}>0.
$$\\
The results improve and generalize those given in some previous
papers.