| 判定二阶线性矩阵微分系统振动性的新准则 |
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| 引用本文： | 孟东沅,王春梅.判定二阶线性矩阵微分系统振动性的新准则[J].数学的实践与认识,2011,41(16). |
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| 作者姓名： | 孟东沅 王春梅 |
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| 作者单位： | 1. 青岛理工大学理学院,山东青岛,266520
2. 青岛经济技术开发区致远中学数学教研室,山东青 岛,266555 |
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| 摘 要： | 利用一个线性变换给出了二阶矩陈微分系统(P(t)X′(t))′+Q(t)X(t)=0 t∈t_0,∞)的振动性的新的判定准则,从而推广和改进了前人的结论.
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| 关 键 词： | 矩阵微分系统 振动性 区间准则 |
New Oscillation Criteria of Linear Second Order Matrix Differential Eequations |
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| MENG Dong-yuan,WANG Chun-mei.New Oscillation Criteria of Linear Second Order Matrix Differential Eequations[J].Mathematics in Practice and Theory,2011,41(16). |
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| Authors: | MENG Dong-yuan WANG Chun-mei |
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| Institution: | MENG Dong-yuan~1,WANG Chun-mei~2 (1.The College of Science,Qingdao Technological University,Qingdao 266520,China) (2.The Department of Mathematics,Qingdao Economic Development Zhiyuan Middle School,Qingdao School,266555,China) |
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| Abstract: | In this paper,we investigate linear second order matrix differential systems: (P(t)X'(t))'+Q(t)X(t)=0 t∈t_0,∞) By using a linear transformation,we obtain some new oscillation criteria.The obtain criteria generalize and improve some known result in literature. |
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| Keywords: | matrix differential system oscillation interval criteria |
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