INVERSE SPECTRAL PROBLEM FOR DIFFERENTIAL-OPERATORS WITH RATIONAL SCATTERING MATRIX FUNCTIONS

被引：36

作者：

ALPAY, D ^{[1
]}

GOHBERG, I ^{[1
]}

机构：

[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69989 RAMAT AVIV,ISRAEL

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1995年 / 118卷 / 01期

关键词：

D O I：

10.1006/jdeq.1995.1064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain explicit formulas for the potential of an ordinary differential operator if its spectral function or its scattering functions are rational matrix functions which are analytic and invertible on the real line including infinity. The solution is given in terms of a realization of the spectral function or of the scattering function. (C) 1995 Academic Press, Inc.

引用

页码：1 / 19

页数：19

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