Reconstruction of potential function and its derivatives for Sturm–Liouville problem with eigenvalues in boundary condition

DOI10.1080/17415977.2010.492514zbMath1205.65215OpenAlexW1982830403MaRDI QIDQ3063841

Hikmet Koyunbakan, Emrah Sercan Yilmaz

Publication date: 15 December 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2010.492514

zbMATH Keywords

eigenvaluesinverse nodal problemSturm-Liouville problemderivativesboundary conditionpotential functionReconstruction

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09) Boundary value problems for ordinary differential equations (34B99)

Related Items

A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line, On the Lipschitz stability of inverse nodal problem for Dirac system, Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition, The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method, On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition, Solving inverse nodal problem with spectral parameter in boundary conditions, Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions, Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

Cites Work

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