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    • 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):211~220
    二阶微分方程的逆特征值问题
    Inverse Eigenvalue Problems of Second-Order Differential Equations
      
    DOI：
    中文关键词:  二阶微分方程  二阶向量微分方程  逆特征值问题  Rayleigh商原理
    英文关键词:Second-order differential equation  Second-order vectorial differential equations  Inverse eigenvalue problem  Rayleigh quotient principle
    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
    Author NameAffiliationE-mail
    YANG Chuanfu 1Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China. chuanfuyang@tom.com 
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    中文摘要:
          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.
    英文摘要:
          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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