二阶矩阵微分系统的区间振动准则

INTERVAL CRITERIA FOR OSCILLATION OF SECOND ORDER MATRIX DIFFERENTIAL SYSTEMS

本文利用矩阵Riccati技巧,平均技巧及矩阵不等式,建立形如[P(t)Y']'+Q(t)Y=0的二阶矩 阵微分系统的一些新的区间振动准则.所得结果推广,改进和包含一系列已有的结论,并能应用于已知 准则不能适用的若干情形.

By employing a matrix Riccati technique, an averaging technique and matrix inequalities, new interval oscillation criteria are established for second order matrix differential systems of the form [P(t)Y']' + Q(t)Y=0. The results extend, improve and embody a number of existing results and handle some cases not covered by known criteria.