O'Reilly logo

Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations by Harry Dym, Damir Z. Arov

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

2Canonical systems and related differential equations

This chapter focuses on the connections between canonical integral and differential systems and the properties of their matrizants and monodromy matrices. The necessary properties of entire J-inner mvf’s will be presented. A number of differential systems of first order and differential equations of second order that can be reduced to Dirac systems will be considered: The Dirac-Krein differential system with potential, the Feller-Krein string equation and the Schrödinger equation with Hermitian potential q(x) such that the Riccati equation q(x) = v′(x) + v(x)2 (or q(x) = v′(x) − v(x)2) has a locally summable Hermitian solution v(x).

2.1 Canonical integral systems

Recall that a canonical integral ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required