Advances in Difference Equations
Volume 2007 (2007), Article ID 94325, 15 pages
Research Article

Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators

A. Delil

Eǧitim Fakültesi, Celal Bayar Üniversitesi, 45900 Demirci, Manisa, Turkey

Received 24 July 2006; Revised 6 March 2007; Accepted 11 April 2007

Academic Editor: Martin J. Bohner

Dedicated to Professor W. D. Evans on the occasion of his 65th birthday

Copyright © 2007 A. Delil. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider second-order difference expressions, with complex coefficients, of the form wn1[Δ(pn1Δxn1)+qnxn] acting on infinite sequences. The discrete analog of some known relationships in the theory of differential operators such as Dirichlet, conditional Dirichlet, weak Dirichlet, and strong limit-point is considered. Also, connections and some relationships between these properties have been established.