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具有阻尼项的二阶自共轭矩阵微分系统的振动定理

OSCILLATION THEOREMS FOR SECOND ORDER SELF-ADJOINT MATRIX DIFFERENTIAL SYSTEMS WITH DAMPING
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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. 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.
作者 周秀君
机构地区 广东纺织职业技术学院
出处 《系统科学与数学》 CSCD 北大核心 2012年第1期90-103,共14页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(10871074)资助课题
关键词 矩阵微分系统 振动 自共轭 Matrix differential system, oscillation, self-adjoint.
分类号 O175 [理学—基础数学]
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参考文献21

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二级参考文献22

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系统科学与数学
2012年 第1期

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