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Oscillation Theorems of the Second Order Linear Matrix Differential System with Damping

作者:QiGuiYANG振动定理二阶矩阵微分方程阻尼系数连续函数

摘要:By using the Riccati technique and the technique, new oscillation criteria are obtained for the second order matrix differential system(P(t)Y′(t))′+ r(t)P(t)Y′(t) + Q(t)Y(t) = 0, t≥t0.These results in the present paper generalize and improve many known conclusions. Furthermore, some results are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0, ∞), rather than on the whole half-line. In particular, our results complement a number of existing results and handle the ease that is not covered by the known criteria.

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