Numerical solution of vector Sturm-Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter
DOI10.1134/S0965542517090020zbMath1400.34137OpenAlexW2757075617MaRDI QIDQ1687805
L. D. Akulenko, A. A. Gavrikov, Sergeĭ V. Nesterov
Publication date: 4 January 2018
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542517090020
eigenvaluesboundary value problemseigenfunctionsnonlinear dependence of coefficients on spectral parameternumerical solution of Sturm-Liouville problem
Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Boundary eigenvalue problems for ordinary differential equations (34B09)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications
- The method of external excitation for solving generalized Sturm-Liouville problems
- Faraday waves in a rectangular reservoir with local bottom irregularities
- Modification of the phase method for singular selfadjoint Sturm-Liouville problems
- Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations.
- Variational principles for eigenvalues of self-adjoint operator functions
- Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter
- A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition
- A polynomial approach to the spectral corrections for Sturm-Liouville problems
- Numerical Solution of Non--Self-Adjoint Sturm--Liouville Problems and Related Systems
- Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
- A modification of one method for solving nonlinear self-adjoint eigenvalue problems for hamiltonian systems of ordinary differential equations
- On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter
- Nonlinear spectral problem for the Sturm-Liouville equations with coupled boundary conditions depending on a spectral parameter
- A spectral theory for a \(\lambda\)-rational Sturm-Liouville problem
- Spectral corrections for Sturm-Liouville problems
This page was built for publication: Numerical solution of vector Sturm-Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter