Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method
Abstract
An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class W2-1 is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases
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