Inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition

DOI10.1186/S13662-015-0478-7zbMath1422.34098OpenAlexW1999134055WikidataQ59432648 ScholiaQ59432648MaRDI QIDQ1795003

Aynur Çöl

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0478-7

zbMATH Keywords

inverse problemSturm-Liouville operatorspectral parameterdiscontinuous coefficientscattering data

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (5)

Inverse scattering problems for Sturm-Liouville operators with spectral parameter dependent on boundary conditions ⋮ Uniqueness theorem on meromorphic functions and their difference operators ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ Unnamed Item ⋮ Characteristic properties of scattering data for discontinuous Schrödinger equations

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