Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method

2020/04/30 by Bondarenko, Natalia P. · 3 citations
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2004.14721

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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