Open Access

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

Advances in Difference Equations20072007:094325

DOI: 10.1155/2007/94325

Received: 24 July 2006

Accepted: 11 April 2007

Published: 21 June 2007

Abstract

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.

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Authors’ Affiliations

(1)
Eǧitim Fakültesi, Celal Bayar Üniversitesi
(2)
Dedicated to Professor W. D. Evans on the occasion of his 65th birthday

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Copyright

© A. Delil. 2007

This article is published under license to BioMed Central Ltd. 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.