| 三阶线性齐次微分方程的比较定理 |
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| 引用本文： | 张文静,张庆祥.三阶线性齐次微分方程的比较定理[J].延安大学学报(自然科学版),2011,30(2):18-19,23. |
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| 作者姓名： | 张文静 张庆祥 |
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| 作者单位： | 延安大学数学与计算机科学学院，陕西延安，716000 |
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| 基金项目： | 陕西省教育厅专项科研基金资助课题 |
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| 摘 要： | 在二阶线性微分方程Sturm比较定理的基础上,利用Picone恒等式,给出一类三阶线性齐次微分方程的Sturm比较定理,所得结论推广了现有文献的结果。
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| 关 键 词： | 三阶线性微分方程 Sturm比较定理 Picone恒等式 零点 |
Third Order Linear Homogeneous Differential Comparison Theorem |
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| ZHANG Wen-jing,ZHANG Qing-xiang.Third Order Linear Homogeneous Differential Comparison Theorem[J].Journal of Yan'an University(Natural Science Edition),2011,30(2):18-19,23. |
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| Authors: | ZHANG Wen-jing ZHANG Qing-xiang |
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| Institution: | ZHOU Ju-zheng,QIN Hong-li(College of Mathematics and Computer Science,Yan an University,Yan an 716000,China) |
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| Abstract: | In the second order linear differential equation Sturm comparison theorem's foundation,by using the picone identical equation's,a kind of third order linear homogeneous differential equation was given the Sturm comparison theorem.Some results were generalized. |
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| Keywords: | third order linear homogeneous differential equation sturm comparison theorem picone identical equation's inspiration zero point |
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