The inverse spectral problem of some singular version of one-dimensional Schrödinger operator with explosive factor in finite interval
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Publication:895171
DOI10.1016/j.joems.2014.05.007zbMath1330.34038OpenAlexW2005336373MaRDI QIDQ895171
Publication date: 26 November 2015
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.joems.2014.05.007
Dirichlet probleminverse problemuniqueness theoremspectral datacontour integrationmain integral equation (Gelfand-Levitan integral equation)
Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05) Spectral theory; eigenvalue problems on manifolds (58C40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
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Cites Work
- The equiconvergence of the eigenfunction expansion for a singular version of one-dimensional Schrödinger operator with explosive factor
- The eigenfunction expansion for a Dirichlet problem with explosive factor
- Reconstruction of Sturm-Liouville differential operators with singularities inside the interval
- On the spectral property of a Dirichlet problem with explosive factor.
- The regularized trace formula of the spectrum of a Dirichlet boundary value problem with turning point
- The resolvent equation of the one-dimensional Schrödinger operator on the whole axis
- Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil
- The One-Dimenshional Inverse Wave Spectral Problem with Discontinuous Wave Speed
- On the scattering problem for the sturm-liouville equation on the half line with sign valued weight coefficient
- Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
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