Pseudo-canonical systems with rational Weyl functions: Explicit formulas and applications

被引：43

作者：

Gohberg, I ^{[1
]}

Kaashoek, MA

Sakhnovich, AL

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Vrije Univ Amsterdam, Fac Wiskunde & Informat, NL-1081 HV Amsterdam, Netherlands

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 146卷 / 02期

关键词：

D O I：

10.1006/jdeq.1998.3428

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper extends earlier results of the authors for canonical systems with spectral functions of which the absolutely continuous part has a rational derivative to a class of differential systems with skew selfadjoint potentials. The corresponding direct and inverse spectral problems are solved explicitly, using state space methods from mathematical system theory. Applications to nonlinear integrable partial differential equations are included. (C) 1998 Academic Press.

引用

页码：375 / 398

页数：24

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