Interval oscillation criteria for second order forced nonlinear matrix differential equations

Abstract

New oscillation criteria are established for the nonlinear matrix differential equations with a forced term [r(t)Y'(t)]' + p(t)Y'(t) + Q(t)G(Y'(t))F(Y(t)) = e(t) Iₙ. Our results extend and improve the recent results of Li and Agarwal for scalar cases. Furthermore, one example that dwell upon the importance of our results is included.