Weyl theory and explicit solutions of direct and inverse problems for a Dirac system with rectangular matrix potential
arXiv:1105.201323 citationsh-index: 23
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This work provides a theoretical framework and explicit solutions for Dirac systems with rectangular potentials, which is a specialized mathematical problem with no immediate practical applications.
The authors develop a non-classical Weyl theory for Dirac systems with rectangular matrix potentials, introducing the Weyl function and solving direct and inverse problems explicitly for rational Weyl matrix functions.
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.