Advances in Difference Equations
Volume 2007 (2007), Article ID 94325, 15 pages
Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators
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
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.