| 二阶微分方程的逆特征值问题 |
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| 引用本文： | 杨传富. 二阶微分方程的逆特征值问题[J]. 数学年刊A辑, 2010, 31(2) |
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| 作者姓名： | 杨传富 |
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| 作者单位： | 南京理工大学应用数学系,南京,210094 |
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| 基金项目： | 南京理工大学卓越计划-紫金之星基金资助的项目 |
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| 摘 要： | 运用渐近分析的方法及Rayleigh商原理,将Sturm-Liouville问题的Ambarzumyan定理推广到具有Neumann边界条件或拟周期边界条件的二阶微分方程情形.同时,获得了二阶向量微分方程的有关Ambarzumyan型结果.
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| 关 键 词： | 二阶微分方程 二阶向量微分方程 逆特征值问题 Rayleigh商原理 |
Inverse Eigenvalue Problems of Second-Order Differential Equations |
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| YANG Chuanfu. Inverse Eigenvalue Problems of Second-Order Differential Equations[J]. Chinese Annals of Mathematics,Series A, 2010, 31(2) |
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| Authors: | YANG Chuanfu |
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| Abstract: | Applying the method of asymptotic analysis and Rayleigh quotient principle,the author extends Ambarzumyan's theorem for the Sturm-Liouville problem to the general second-order differential equations with Neumann boundary condition or quasi-periodic boundary condition. The parallel results for vectorial second-order differential systems are also obtained. |
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| Keywords: | Second-order differential equation Second-order vectorial differential equations Inverse eigenvalue problem Rayleigh quotient principle |
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