On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations

DOI10.1134/S0965542509030099zbMath1224.34030MaRDI QIDQ2995668

V. I. Ul'yanova, A. A. Abramov, L. F. Yukhno

Publication date: 4 May 2011

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

zbMATH Keywords

eigenvaluenonlinear spectral problemHamiltonian system of ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations ⋮ On the number of eigenvalues of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations ⋮ Determination of the number of an eigenvalue of a singular nonlinear self-adjoint spectral problem for a linear Hamiltonian system of differential equations ⋮ On the general nonlinear self-adjoint spectral problem for differential-algebraic systems

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