صندلی اداری

RECESSIVE, DOMINANT AND SPIRAL BEHAVIOURS OF SOLUTIONS OF CERTAIN CLASS OF GENERALISED DIFFERENCE EQUATIONS

M. Maria Susai Manuel, G. Britto Antony Xavier

Abstract


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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