摘要
By using the Riccati technique and the technique, new oscillation criteriaare obtained for the second order matrix differential system (P(t)Y'(t))' + r(t)P(t)Y(t) + Q(t)Y (t)= 0, t ≥ t_0. 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 onthe information only on a sequence of subintervals of [t 0,), rather than on the whole half–line.In particular, our results complement a number of existing results and handle the case that is notcovered by the known criteria.
By using the Riccati technique and the technique, new oscillation criteriaare obtained for the second order matrix differential system (P(t)Y'(t))' + r(t)P(t)Y(t) + Q(t)Y (t)= 0, t ≥ t_0. 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 onthe information only on a sequence of subintervals of [t 0,), rather than on the whole half–line.In particular, our results complement a number of existing results and handle the case that is notcovered by the known criteria.
基金
This work is supported by National Key Basic Research Special Fundation of China(No.G1998020309)
National Natural Science Foundation of China(No.10461002)
Science Foundation of Guangxi Province of China (No.0236012) 34A30,34C10
