On the uniform convergence of spectral expansions for a spectral problem with boundary conditions of the third kind one of which contains the spectral parameter
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Publication:662465
DOI10.1134/S0012266111100168zbMath1244.34103MaRDI QIDQ662465
Publication date: 23 February 2012
Published in: Differential Equations (Search for Journal in Brave)
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (8)
Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter ⋮ The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter ⋮ On the convergence in \(W_2^m\) of spectral expansions for a spectral problem with boundary conditions of the third kind one of which contains the spectral parameter ⋮ On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition ⋮ On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions ⋮ On an inhomogeneous problem for parabolic-hyperbolic equation ⋮ On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition ⋮ On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated
Cites Work
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- On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
- On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
- Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
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