Title

On a Weyl-Titchmarsh Theory for Discrete Symplectic Systems on a Half Line

Editor(s)

Scott, Melvin

Abstract

Recently, Bohner and Sun [9] introduced basic elements of a Weyl–Titchmarsh theory into the study of discrete symplectic systems. We extend this development through the introduction of Weyl–Titchmarsh functions together with a preliminary study of their properties. A limit point criterion is described and characterized. Green’s function for the half-line is introduced as a limit of such functions in the regular case and half-line solutions obtained are seen to satisfy λ-dependent boundary conditions at infinity.

Department(s)

Mathematics and Statistics

Keywords and Phrases

discrete symplectic system; Weyl-Titchmarsh M-function; regular spectral problem; singular spectral problem; Riccati equation; limit point case; limit circle case; Green's function

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Elsevier, All rights reserved.


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