Integral transforms connected with differential operators having singularities inside the interval

DOI10.1080/10652469708819143zbMath0902.44003OpenAlexW2159094532MaRDI QIDQ4389798

Vjacheslav Anatoljevich Yurko

Publication date: 24 May 1998

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469708819143

zbMATH Keywords

integral transformsboundary value problemsinverse spectral problemseigenfunction expansionsecond-order differential operatorsdifferential equations with singularitiescompleteness of eigenfunctions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inverse problems involving ordinary differential equations (34A55)

Related Items (15)

On Sturm-Liouville operators with discontinuity conditions inside an interval ⋮ Inverse problem for Dirac system with singularities in interior points ⋮ Integral transforms connected with discontinuous boundary value problems ⋮ Inverse scattering problem for Sturm–Liouville operators with Bessel singularities on noncompact star-type graphs ⋮ Inverse problems for the quadratic pencil of the Sturm-Liouville equations with impulse ⋮ Higher-order differential equations having a singularity in an interior point ⋮ The interior inverse problem for the impulsive Sturm-Liouville equation ⋮ Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval ⋮ Boundary value problems with discontinuity conditions in an interior point of the interval ⋮ On the relationship between the turning and singular points in Sturm–Liouville equations ⋮ Dirac system with a singularity in an interior point ⋮ On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient ⋮ An analogue of the Gelfand-Levitan trace formula for the Sturm-Liouville operator with a meromorphic potential ⋮ Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval

Cites Work

• Differential-difference equations
• Interpolation of operators of weak type
• Inverse spectral theory for some singular Sturm-Liouville problems
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• On higher-order differential operators with a singular point
• Inverse eigenvalue problems for a singular Sturm-Liouville operator on (0,1)
• Removable singularities of plurisubharmonic functions of class $ \operatorname{Lip}_\alpha$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integral transforms connected with differential operators having singularities inside the interval