A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition

DOI10.1134/S0965542515040028zbMath1323.65087OpenAlexW637752795MaRDI QIDQ2354482

L. F. Yukhno, A. A. Abramov

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515040028

zbMATH Keywords

eigenvaluesnonlinear self-adjoint eigenvalue problemnonlocal conditionsredundant conditionsnumerical method for counting eigenvaluessingular Hamiltonian system of differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Solving some problems for systems of linear ordinary differential equations with redundant conditions ⋮ Numerical solution of vector Sturm-Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter

Cites Work

• Unnamed Item
• Nonlinear spectral problem for a Hamiltonian system of differential equations with redundant conditions
• Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations
• Solving a system of linear ordinary differential equations with redundant conditions
• A modification of one method for solving nonlinear self-adjoint eigenvalue problems for hamiltonian systems of ordinary differential equations
• Numerical solution of some algebraic problems arising in the theory of stability
• On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities

This page was built for publication: A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition