Expansion in eigenfunctions of non-self-adjoint singular differential operators of second order

DOI10.1090/trans2/025/04zbMath0127.03802OpenAlexW4235315136MaRDI QIDQ5332340

Vladimir V. Marchenko

Publication date: 1963

Published in: American Mathematical Society Translations: Series 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/025/04

zbMATH Keywords

ordinary differential equations

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Spectral properties of the nonhomogeneous Klein-Gordon \(s\)-wave equations ⋮ Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions ⋮ The inverse Sturm-Liouville problem with symmetric potentials ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems ⋮ The completeness of eigenfunctions of perturbation connected with Sturm-Liouville operators ⋮ Properties of the scattering transform on the real line ⋮ Principal functions of non-selfadjoint Sturm-Liouville problems with eigenvalue-dependent boundary conditions ⋮ Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation ⋮ An eigenfunction expansion of the non-selfadjoint Sturm-Liouville operator with a singular potential ⋮ An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities ⋮ A criterion for Hill operators to be spectral operators of scalar type ⋮ Spectral expansion of a non-self-adjoint differential operator on the whole axis ⋮ A local Borg-Marchenko theorem for complex potentials ⋮ Spectral singularities of the nonhomogeneous Sturm-Liouville equations ⋮ Spectrum and principal functions of the non-self-adjoint Sturm-Liouville operators with a singular potential

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