A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay

Wang, Yu PingKeskin, BakiShieh, Chung-Tsun2024-03-012024-03-012023https://www.degruyter.com/document/doi/10.1515/jiip-2020-0058/htmlhttps://hdl.handle.net/20.500.12418/14506In this paper, we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are sufficient to determine the complex potential. We developed the Horváth’s method in [M. Horváth, On the inverse spectral theory of Schrödinger and Dirac operators, Trans. Amer. Math. Soc. 353 2001, 10, 4155–4171] for the self-adjoint Sturm–Liouville operator without delay into the non-self-adjoint Sturm–Liouville differential operator with a constant delay.en10.1515/jiip-2020-0058info:eu-repo/semantics/closedAccessInverse problem; non-self-adjoint Sturm–Liouville operators; constant delay; potential; eigenvalueA partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delayArticle3144864792-s2.0-85151530694N/AWOS:000959794100001Q2