In this paper, we discuss the Oscillation of Matrix Differential Equation (p(t)y'(t))' + Q(t)y(t) + F(t, y(t), y'(t)) = 0 and obtain more general consequence in comparison with the paper [1]. Under the determinated condition approved a conjecture to be correct of the paper [1].
There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded.
