Gerhard Freiling, Vjacheslav Anatoljevich Yurko
Abstract
An inverse problem of spectral analysis is studied for Sturm–Liouville differential operators with non-separated boundary conditions. For the central symmetric case, we prove the local solvability of the inverse problem of recovering the potential from one spectrum.
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An inverse problem of spectral analysis is studied for Sturm–Liouville differential operators with non-separated boundary conditions. For the central symmetric case, we prove the local solvability of the inverse problem of recovering the potential from one spectrum.
Key concepts: Mathematics, Inverse, Inverse problem, Mathematical analysis, Boundary value problem, Spectrum (functional analysis), Boundary (topology), Sturm–Liouville theory