一类二阶微分方程的特征值估计及其反问题
일류이계미분방정적특정치고계급기반문제
Estimate of the Eigenvalue and Inverse Problem of a Class of Second-order Differential Equations
  • 万方数据
    大学数学 대학수학
    COLLEGE MATHEMATICS
    2011年 4期 118-121 ,共4页

    王於平%杨传富

    왕어평%양전부

    二阶微分方程%参数边值条件%特征值渐近式%特征值反问题 二階微分方程%參數邊值條件%特徵值漸近式%特徵值反問題
    이계미분방정%삼수변치조건%특정치점근식%특정치반문제
    second-order differential equation%eigenparameter i n the boundary conditions%asymptotics of eigenvalue%inverse eigenvalue problem
    借助Rouché定理及渐近分析的方法,给出了边界条件含有特征参数的一类二阶微分方程的特征值渐近公式.运用特征值渐近公式给出了特征值反问题的一个惟一性结果及重构公式.
    차조Rouché정리급점근분석적방법,급출료변계조건함유특정삼수적일류이계미분방정적특정치점근공식.운용특정치점근공식급출료특정치반문제적일개유일성결과급중구공식.
    With the help of Rouché＇s theorem and the methods of asymptotic analysis,we give asymptotic formula of the eigenvalue of a class of second-order differential equations with eigenparameter contained in the bound ary conditions.A uniqueness result of inverse eigenvalue problem and reconstruc tions of h and k are presented.
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