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Discrete linear Hamiltonian eigenvalue problems

✍ Scribed by M. Bohner

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
706 KB
Volume
36
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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## Abstract We consider the eigenvalue problem magnified image for __t__ Ο΅ [0, __b__], where __a^n^__ = |__a__|^n^ sgn__a, a__ Ο΅ ℝ, Ξ» Ο΅ ℝ, the constants ΞΌ__, v__ are real such that 0 ≀ ΞΌ < __n__ and derive asymptotic estimates for solutions of the differential equation in the definite case __q__(__