Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations.

zbMath1048.34135MaRDI QIDQ1852491

A. A. Abramov

Publication date: 26 June 2003

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

zbMATH Keywords

eigenvaluesordinary differential equationsHamiltonian systemsnonlinear spectral problemmethod matrix

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations ⋮ Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter ⋮ Numerical solution of vector Sturm-Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity ⋮ Oscillation theorems for linear Hamiltonian systems with nonlinear dependence on the spectral parameter and the comparative index

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