<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we consider the difference equation <disp-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-009-0020-y#0002_graphic2.png"></inline-graphic></disp-formula> (E) with positive parameters and nonnegative initial conditions. We use the explicit formula for the solutions of equation (E) in investigating their behavior.</p></abstract>

In this paper we consider the difference equation  (E) with positive parameters and nonnegative initial conditions. We use the explicit formula for the solutions of equation (E) in investigating their behavior.

On the rational recursive sequence <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-009-0020-y#0002_graphic1.png"/></inline-formula>

Institute of Mathematics Poznán University of Technology Piotrowo 3A PL–60-965 Poznán POLAND

Tatra Mountains Mathematical Publications

In this paper we consider the difference equation  (E) with positive parameters and nonnegative initial conditions. We use the explicit formula for the...

On the rational recursive sequence

Publié en ligne: 12 nov. 2012

Pages: 1 - 9

DOI: https://doi.org/10.2478/v10127-009-0020-y

Mots clés
rational difference equation, equilibrium point, explicit formula, boundedness, global asymptotic stability.

This content is open access.