The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem
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Publication:1674186
DOI10.1007/s00009-017-0915-9zbMath1378.34044OpenAlexW2604358911MaRDI QIDQ1674186
Hayati Olğar, Fahreddin S. Muhtarov
Publication date: 1 November 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-0915-9
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 (10)
A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Spectral analysis of \(\alpha\)-semi periodic 2-interval Sturm-Liouville problems ⋮ Development of the finite difference method to solve a new type Sturm-Liouville problems ⋮ MINIMIZATION PRINCIPLE AND GENERALIZED FOURIER SERIES FOR DISCONTINUOUS STURM-LIOUVILLE SYSTEMS IN DIRECT SUM SPACES ⋮ On the boundary value problem for discontinuous Sturm-Liouville operator ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Construction and stability of Riesz bases ⋮ DISCONTINUOUS STURM-LIOUVILLE PROBLEMS INVOLVING AN ABSTRACT LINEAR OPERATOR ⋮ The representation of the solution of Sturm-Liouville equation with discontinuity conditions ⋮ Green's function and Carleman's formula for transmission problems
Cites Work
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- Second-order differential operators with interior singularity
- The spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation
- Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions
- On the basis properties of root functions of two generalized eigenvalue problems
- Boundary value problems with eigenvalue-dependent boundary and transmission conditions
- Asymptotic behaviour of eigenvalues for the discontinuous boundary value problem with functional-transmission conditions
- Self\(adjoint\) quadratic operator pencils and elliptic problems
- Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point
- Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- New type of Sturm-Liouville problems in associated Hilbert spaces
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
- Eigenoscillations of mechanical systems with boundary conditions containing the frequency
- Problems for Ordinary Differential Equations with Transmission Conditions
- Completeness of one two-interval boundary value problem with transmission conditions
- Resolvent operator and spectrum of new type boundary value problems
- 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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