Weyl theory and explicit solutions of direct and inverse problems for a Dirac system with rectangular matrix potential

Abstract

A non-classical Weyl theory is developed for Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and the corresponding direct problem is treated. Furthermore, explicit solutions of the direct and inverse problems are obtained for the case of rational Weyl matrix functions.

References in corpus (1)

• Commutation Methods for Schroedinger Operators with Strongly Singular Potentials

Cited by in corpus (5)

• Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
• Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems
• Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables
• Initial Value Problems for Integrable Systems on a Semi-Strip
• Operator identities corresponding to inverse problems