| 具有阻尼项的二阶自共轭矩阵微分系统的振动定理 |
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| 引用本文： | 周秀君.具有阻尼项的二阶自共轭矩阵微分系统的振动定理[J].系统科学与数学,2012,32(1):90-103. |
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| 作者姓名： | 周秀君 |
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| 作者单位： | 广东纺织职业技术学院,佛山,528041 |
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| 基金项目： | 国家自然科学基金(10871074)资助课题 |
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| 摘 要： | 运用Riccati技巧,正线性泛函和广义平均对方法,讨论具有阻尼项的二阶自共轭矩阵微分系统(P(t)Y’(t))’+r(t)P(t)Y’(t)+Q(t)Y(t)=0,t≥0,获得了一些新的振动定理.所得结果改进和推广了许多已知结论.特别地,补充了大量存在性结果,并能处理以前振动准则不能解决的问题.
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| 关 键 词： | 矩阵微分系统 振动 自共轭 |
OSCILLATION THEOREMS FOR SECOND ORDER SELF-ADJOINT MATRIX DIFFERENTIAL SYSTEMS WITH DAMPING |
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| ZHOU Xiujun.OSCILLATION THEOREMS FOR SECOND ORDER SELF-ADJOINT MATRIX DIFFERENTIAL SYSTEMS WITH DAMPING[J].Journal of Systems Science and Mathematical Sciences,2012,32(1):90-103. |
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| Authors: | ZHOU Xiujun |
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| Institution: | ZHOU Xiujun (Guangdong Institute of Textile Technology,Foshan 528041) |
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| Abstract: | By using Riccati technique,linear positive functional and generalized averaging pairs,this paper discusses the second order self-adjoint matrix differential system with damping: (P(t)Y’(t))’+r(t)P(t)Y’(t)+Q(t)Y(t)=0,t≥0. Some new oscillation criteria are obtained.These results generalize and improve many known conclusions.In particular,many new existence results are obtained. |
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| Keywords: | Matrix differential system oscillation self-adjoint |
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