Reconstructing parameters of a medium from incomplete spectral information
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Publication:1296999
DOI10.1007/BF03322815zbMath0927.34009MaRDI QIDQ1296999
Vjacheslav Anatoljevich Yurko, Gerhard Freiling
Publication date: 3 August 1999
Published in: Results in Mathematics (Search for Journal in Brave)
Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (7)
Inverse problem for Dirac system with singularities in interior points ⋮ Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity ⋮ On the determination of differential equations with singularities and turning points ⋮ An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point ⋮ A new approach to uniqueness for inverse Sturm--Liouville problems on finite intervals ⋮ Dirac system with a singularity in an interior point ⋮ Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval
Cites Work
- Linear turning point theory
- On the determination of self-adjoint differential operators on the semiaxis
- An historical survey of ordinary linear differential equations with a large parameter and turning points
- On constructing differential equations with singularities from incomplete spectral information
- Inverse problems for differential equations with turning points
- Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points
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