The forbidden set, solvability and stability of a circular system of complex Riccati type difference equations
George L. Karakostas
Abstract:<abstract><p>In this paper, the circular system of Riccati type complex difference equations of the form</p>
<p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ u_{n+1}^{(j)} = \frac{a_ju_n^{(j-1)}+b_j}{c_ju_n^{(j-1)}+d_j}, \; n = 0, 1, 2, \cdots, \; j = 1, 2, \cdots, k, $\end{document} </tex-math></disp-formula></p>
<p>where $ u_n^{(0)}: = u_n^{(k)} $ for all $ n $, is investigated. First, the forbidden set of the equation is gi… Show more
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