Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. II: Unicity and an engineering approach.

DOI10.1016/S0096-3003(00)00105-3zbMath1033.65059MaRDI QIDQ1855107

Zahir Muradoglu Seyidmamedov, Alemdar Hasanov

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

inverse problemCauchy problemnumerical examplesSturm-Liouville operatorleading coefficientboundary measurements

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)

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The determination of the leading coefficient in the monotone potential Sturm-Liouville operator from boundary measurements ⋮ Reconstructing a second-order Sturm-Liouville operator by an energetic boundary function iterative method ⋮ Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential ⋮ An inverse polynomial method for the identification of the leading coefficient in the Sturm-Liouville operator from boundary measurements. ⋮ An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data ⋮ Error analysis of a multisingular inverse coefficient problem for the Sturm-Liouville operator based on boundary measurement. ⋮ Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ Simulation of ill-conditioned situations in inverse coefficient problem for the Sturm-Liouville operator based on boundary measurements ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

Cites Work

• Unnamed Item
• An inverse problem for a Sturm-Liouville operator
• Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. I: A stripping algorithm
• On the determination of a differential equation from its spectral function
• An Inverse Problem for the Steady State Diffusion Equation
• Solution of an inverse coefficient problem for an ordinary differential equation
• The inverse sturm‐liouville problem

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