A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay
- 29 March 2023
- journal article
- research article
- Published by Walter de Gruyter GmbH in Journal of Inverse and Ill-posed Problems
- Vol. 31 (4) , 479-486
Abstract
In 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.Keywords
This publication has 20 references indexed in Scilit:
- An inverse spectral problem for Sturm–Liouville operators with a large constant delayAnalysis and Mathematical Physics, 2017
- Sturm-Liouville differential operators with deviating argumentTamkang Journal of Mathematics, 2017
- AN INVERSE PROBLEMS FOR STURM-LIOUVILLE-TYPE DIFFERENTIAL EQUATION WITH A CONSTANT DELAYSarajevo Journal of Mathematics, 2016
- Inverse Sturm–Liouville problems with the potential known on an interior subintervalApplicable Analysis, 2014
- Trace and inverse problem of a discontinuous Sturm–Liouville operator with retarded argumentJournal of Mathematical Analysis and Applications, 2012
- Inverse problems for Sturm–Liouville differential operators with a constant delayApplied Mathematics Letters, 2012
- Property C for ODE and applications to inverse problems2000
- The reconstruction of Sturm-Liouville operatorsInverse Problems, 1992
- Theory of Functional Differential Equations1977
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die EigenwerteActa Mathematica, 1946