Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral parameter
DOI10.1016/j.jde.2024.06.007MaRDI QIDQ6601840
Ziyatkhan Seyfaddin Aliyev, Ayna E. Fleydanli
Publication date: 11 September 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
eigenvalueeigenvalue problemspectral parameterfourth-order differential operatorbasis property of eigenfunctions
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotics of the eigenvalues of a self-adjoint fourth-order boundary value problem with four eigenvalue parameter dependent boundary conditions
- Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions
- Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition
- Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
- Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition
- Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions
- On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
- Boundary problems for ordinary differential equations with parameter in the boundary conditions
- A Pruefer transformation for the equation of a vibrating beam subject to axial forces
- Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
- Asymptotics of the eigenvalues of self-adjoint fourth order differential operators with separated eigenvalue parameter dependent boundary conditions
- Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load
- Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
- Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition
- Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I
- Oscillation properties of a multipoint fourth-order boundary-value problem with spectral parameter in the boundary condition
- On oscillation of eigenfunctions of a fourth-order problem with spectral parameters in the boundary conditions
- On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- Oscillation properties of solutions to a nonselfadjoint spectral problem with spectral parameter in the boundary condition
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
- Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions
- Riesz basis and stabilization for the flexible structure of a symmetric tree‐shaped beam network
- Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
- The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
This page was built for publication: Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral parameter