期刊名称:International Journal of Differential Equations and Applications
印刷版ISSN:1311-2872
出版年度:2005
卷号:10
期号:4
DOI:10.12732/ijdea.v10i4.173
语种:English
出版社:International Journal of Differential Equations and Applications
摘要:In this paper, the authors define spiral solution, spiral source, spiral sink and obtain recessive, dominant and spiral properties of solutions of the generalized difference equation \begin{equation}{\label{rp01}}p(k)u(k+\ell)+p(k-\ell)u(k-\ell)=q(k)u(k)\,,\end{equation}where the functions $p(k)\neq 0$ and $q(k)$ are complex sequences defined on $N(\ell)$ and $N$ respectively and $\ell$ is any positive integer. Suitable examples are provided to illustrate the main results.