Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations

DOI10.1134/S0965542514030105zbMath1313.34278MaRDI QIDQ2940383

S. V. Kurochkin

Publication date: 26 January 2015

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

Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=3&year=14&page=439

zbMATH Keywords

eigenvalueordinary differential equationslinear Hamiltonian systemboundary value problem

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Determination of the number of an eigenvalue of a singular nonlinear self-adjoint spectral problem for a linear Hamiltonian system of differential equations
• A method of finding the eigenvalues and eigenfunctions of a self- conjugate differential problem
• Sturm theory for the equation of vibrating beam
• The Sturm theorems and symplectic geometry
• Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations.
• Discrete and continuous boundary problems
• On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations

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