INVERSE SPECTRAL ANALYSIS FOR SINGULAR DIFFERENTIAL OPERATORS WITH MATRIX COEFFICIENTS

被引：0

作者：

Mahmoud, Nour El Houda ^{[1
]}

Yaich, Imen ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Inverse problem; Fourier-Bessel transform; spectral measure; Hilbert-Schmidt operator; Fredholm's equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L-alpha be the Bessel operator with matrix coefficients defined on (0, infinity) by [GRAPHICS] where alpha is a fixed diagonal matrix. The aim of this study, is to determine, on the positive half axis, a singular second-order differential operator of L-alpha + Q kind and its various properties from only its spectral characteristics. Here Q is a matrix-valued function. Under suitable circumstances, the solution is constructed by means of the spectral function, with the help of the Gelfund-Levitan process. The hypothesis on the spectral function are inspired on the results of some direct problems. Also the resolution of Fredholm's equations and properties of Fourier-Bessel transforms are used here.

引用

页数：19

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