On a Rational $(P+1)$th Order Difference Equation with Quadratic Term

STUDYING THE BEHAVIOR OF SOLUTIONS OF A SECOND-ORDER RATIONAL DIFFERENCE EQUATION AND A RATIONAL SYSTEM

In this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. Also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.  

Convergence Results on a Second-Order Rational Difference Equation with Quadratic Terms

We investigate the global behavior of the second-order difference equation xn 1 xn−1 αxn βxn−1 / Axn Bxn−1 , where initial conditions and all coefficients are positive. We find conditions on A,B, α, β under which the even and odd subsequences of a positive solution converge, one to zero and the other to a nonnegative number; as well as conditions where one of the subsequences diverges to infini...

On a Conjecture for a Higher-Order Rational Difference Equation

Naimark-Sacker Bifurcation of Second Order Rational Difference Equation with Quadratic Terms

We investigate the global asymptotic stability and Naimark-Sacker bifurcation of the difference equation xn+1 = F bxnxn−1 + cxn−1 + f , n = 0, 1, . . . with non-negative parameters and nonnegative initial conditions x−1, x0 such that bx0x−1 + cx−1 +f > 0. By using fixed point theorem for monotone maps we find the region of parameters where the unique equilibrium is globally asymptotically stable.

studying the behavior of solutions of a second-order rational difference equation and a rational system

in this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.