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文章基本信息

  • 标题:RECESSIVE, DOMINANT AND SPIRAL BEHAVIOURS OF SOLUTIONS OF CERTAIN CLASS OF GENERALISED DIFFERENCE EQUATIONS
  • 作者:Maria Susai Manuel, G. Britto Antony Xavier, M.
  • 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.
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