Discrete Linear Hami l ton ian Eigenvalue Problems
نویسنده
چکیده
-This paper introduces general discrete linear Harniltonian 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 Sturrn-Liouville eigenvalue problems of higher order are included in the presented theory. (g) 1998 Elsevier Science Ltd. All rights reserved. K e y w o r d s L i n e a r Hamiltonian difference system, Discrete Sturm-Liouville eigenvalue problem, Strict controllability, Reid roundabout theorem, Comparison theorem.
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