Title

An Oscillation Theorem for Discrete Eigenvalue Problems

Abstract

In this paper we consider problems that consist of symplectic difference systems depending on an eigenvalue parameter, together with self-adjoint boundary conditions. Such symplectic difference systems contain as important cases linear Hamiltonian difference systems and also Sturm-Liouville difference equations of second and of higher order. The main result of this paper is an oscillation theorem that relates the number of eigenvalues to the number of generalized zeros of solutions.

Department(s)

Mathematics and Statistics

Keywords and Phrases

oscillation; symplectic; Hamiltonian; Discrete systems; eigenvalue problem

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Rocky Mountain Mathematics Consortium, All rights reserved.

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