RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINT

Title & Authors
RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINT
Dubickas, Arturas;

Abstract
In this note we study positive solutions of the mth order rational difference equation $x_n Keywords difference equations;equilibrium point;convergence of sequences;upper and lower limits; Language English Cited by 1. On the Difference equation xn+1=axn−l+bxn−k+cxn−sdxn−s−e, Mathematical Methods in the Applied Sciences, 2017, 40, 3, 535 References 1. E. Camouzis, Global analysis of solutions of${x_{n+1}}=\frac{{\beta}x_n+{\delta}x_{n-2}}{A+Bx_{n}+Cx_{n-1}}$, J. Math. Anal. Appl. 316 (2006), no. 2, 616-627. 2. E. Camouzis and G. Ladas, Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures, Advances in Discrete Mathematics and Applications, 5. Chapman & Hall/CRC, Boca Raton, FL, 2008. 3. M. R. S. Kulenovic and G. Ladas, Dynamics of Second Order Rational Difference Equations, With open problems and conjectures. Chapman & Hall/CRC, Boca Raton, FL, 2002. 4. J. Park, A global behavior of the positive solutions of${x_{n+1}}=\frac{{\beta}x_n+x_{n-2}}{A+Bx_{n}+x_{n-2}}\$, Commun. Korean Math. Soc. 23 (2008), no. 1, 61-65.