Advances in Difference Equations
Volume 2007 (2007), Article ID 94325, 15 pages
doi:10.1155/2007/94325

Relations between limit-point and Dirichlet properties of second-order difference operators

A. Delil

E {g}itim Fakültesi, Celal Bayar Üniversitesi, 45900 Demirci, Manisa, Turkey

Abstract

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.