Abstract
AbstractWe consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers. We prove local solvability and stability of this inverse problem, relying on the method of spectral mappings. Possible splitting of multiple eigenvalues is taken into account.
Funder
Российский Фонд Фундаментальных Исследований
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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