The spectral analysis of some not self-adjoint operator pencil with a discontinuous coefficient
DOI:
https://doi.org/10.15407/dopovidi2014.04.025Keywords:
not self-adjoint operator pencil, spectral analysisAbstract
The direct and inverse problems for the Schrödinger equation on the whole axis with complex periodic potentials and discontinuous right-hand side are investigated. The main properties of the fundamental solutions and the spectrum of the problem are studied. The inverse problem is formulated, and a constructive procedure for its solution is given.
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