Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.
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Sakhnovich, Alexander (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
S. Clark, F. Gesztesy, M. Mitrea (2010)
Mathematical Modelling of Natural Phenomena
We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations of these boundary data maps in terms of the resolvent...
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