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

Abstract

We consider second-order difference expressions, with complex coefficients, of the form wn−1[−Δ(pn−1Δxn−1)+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.