IJPAM: Volume 47, No. 1 (2008)

WEB LIKE SOLUTIONS OF RICCATI TYPE
GENERALIZED DIFFERENCE EQUATIONS

M. Maria Susai Manuel$^1$, G. Britto Antony Xavier$^2$,
R. Pugalarasu$^3$, S. Elizabeth$^4$
$^{1,2,3}$Department of Mathematics
Sacred Heart College
Tamil Nadu, Tirupattur, 635 601, S. INDIA
$^1$e-mail: manuelmsm_03@yahoo.co.in
$^4$Department of Mathematics
Auxilium College
Tamil Nadu, Vellore District, S. INDIA


Abstract.In this paper, the authors define $\ell$-web solutions of generalized difference equations and discuss the behaviors of $\ell$-web solutions of the generalized difference equation

\begin{displaymath}{ } \Delta_\ell(p(k)\Delta_\ell u(k))+r(k)u(k+\ell) = 0,\quad k \in \mathbb{N}\,, \end{displaymath} (1)

where $p$ and $r$ are real valued functions defined on $\mathbb{N}$, $\ell$ is positive integer, $p(k) >$ 0 for all $k \in \mathbb{N}(a)$ and $\Delta_\ell u(k) = u (k + \ell) - u(k).$

Received: May 14, 2008

AMS Subject Classification: 39A12

Key Words and Phrases: rotatory, sink, source, spiral, expanding, shrinking

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1