| 二阶矩阵微分系统的区间振动准则 |
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| 引用本文： | 王其如.二阶矩阵微分系统的区间振动准则[J].数学年刊A辑(中文版),2005(1). |
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| 作者姓名： | 王其如 |
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| 作者单位： | 中山大学数学系 广州 |
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| 基金项目： | 国家自然科学基金(No.10471155)
中国博士后科学基金(No.2002031294)
高等学校博士学科点专项科研基金(No.20020558092)
广东省自然科学基金(No.031608)资助的项目. |
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| 摘 要： | 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.
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| 关 键 词： | 矩阵微分系统 振动性 区间准则 矩阵Riccati技巧 矩阵不等式 |
INTERVAL CRITERIA FOR OSCILLATION OF SECOND ORDER MATRIX DIFFERENTIAL SYSTEMS |
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| WANG Qiru.INTERVAL CRITERIA FOR OSCILLATION OF SECOND ORDER MATRIX DIFFERENTIAL SYSTEMS[J].Chinese Annals of Mathematics,2005(1). |
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| Authors: | WANG Qiru |
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| Institution: | WANG Qiru Department of Mathematics,Zhongshan University,Guangzhou 510275,China. |
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| Abstract: | 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. |
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| Keywords: | Matrix differential system Oscillation Interval criteria Matrix Riccati technique Matrix inequalities |
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