On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition
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Publication:905851
DOI10.1134/S0012266115100031zbMath1332.34050OpenAlexW2213698495MaRDI QIDQ905851
Publication date: 28 January 2016
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266115100031
Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items (6)
Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions ⋮ On the nonclassical asymptotics of the eigenvalues of a boundary value problem for a second-order differential-operator equation ⋮ Basis property of root functions system for a problem with spectral parameter in the boundary condition ⋮ On the basic property in \(L_p\) of a system of eigenfunctions of a problem with the square of the spectral parameter in the boundary condition ⋮ Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition
Cites Work
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- On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition
- On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
- The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
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