Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems
DOI10.1007/s13324-018-0242-8zbMath1434.34074OpenAlexW2883919716WikidataQ129559190 ScholiaQ129559190MaRDI QIDQ2009453
Oktay Sh. Mukhtarov, Kadriye Aydemir
Publication date: 28 November 2019
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-018-0242-8
Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions
- Krein's theorems for a dissipative boundary value transmission problem
- Basis properties of root functions of the Sturm-Liouville problem with a spectral parameter in the boundary conditions
- On the characteristic values of the real component of a dissipative boundary value transmission problem
- Two-interval Sturm--Liouville operators in modified Hilbert spaces
- Irregular boundary value problems with discontinuous coefficients and the eigenvalue parameter
- A note on eigenvalue problems with eigenvalue parameter in the boundary conditions
- The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem
- Half inverse problems for quadratic pencils of Sturm-Liouville operators
- Eigenvalues of discontinuous Sturm-Liouville problems with symmetric potentials
- Phénomènes de transmission à travers des couches minces de conductivite elevee
- Eigenparameter dependent Sturm-Liouville problems in boundary conditions with transmission conditions
- Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
- The determinants of fourth order dissipative operators with transmission conditions
- Self-adjoint Sturm-Liouville problems with discontinuous boundary conditions
- Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition
- Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions
- On half inverse problem for differential pencils with the spectral parameter in boundary conditions
- An exactly solvable periodic Schrodinger operator
- AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
- Abel Basis of Root Functions of Regular Boundary Value Problems
- STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I
- Some properties of eigenvalues and generalized eigenvectors of one boundary value problem
- Completeness of one two-interval boundary value problem with transmission conditions
- Resolvent operator and spectrum of new type boundary value problems
- On Diffusion in a Fractured Medium
- Inverse problems for second-order differential pencils with Dirichlet boundary conditions