Discrete Linear Hamiltonian Eigenvalue Problems
This paper introduces general discrete linear Hamiltonian eigenvalue problems and characterizes the eigenvalues. Assumptions are given, among them the new notion of strict controllability of a discrete system, that imply isolatedness and lower boundedness of the eigenvalues. Due to the quite general assumptions, discrete Sturm-Liouville eigenvalue problems of higher order are included in the presented theory.
M. Bohner, "Discrete Linear Hamiltonian Eigenvalue Problems," Computers & Mathematics with Applications, Elsevier, Jan 1998.
The definitive version is available at https://doi.org/10.1016/S0898-1221(98)80019-9
Mathematics and Statistics
Keywords and Phrases
linear Hamiltonian Difference System; Discrete Strum-Liouville eigenvalue problem; strict controllability; Reid roundabout theorem; comparison Theorem
Article - Journal
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