Orlando Merino

most citedOn the Global Behavior of Solutions to a Planar System of Difference Equations

11 citations · 11 across the 3 of their papers we have counts for

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math.DS2008

Global Attractivity of the Equilibrium of a Difference Equation: An Elementary Proof Assisted by Computer Algebra System

Orlando Merino

Let $p$ and $q$ be arbitrary positive numbers. It is shown that if $q < p$ , then all solutions to the difference equation \tag{E} x_{n+1} = \frac{p+q x_n}{1+x_{n-1}}, \quad n=0,1,2…

math.DS2008

Global Behavior of Solutions to Two Classes of Second Order Rational Difference Equations

Sukanya Basu, Orlando Merino

For nonnegative real numbers $α$ , $β$ , $γ$ , $A$ , $B$ and $C$ such that $B + C > 0$ and $α + β + γ > 0$ , the difference equation \begin{equation*} x_{n+1}=\displaystyle\frac{α+βx_{n}+γx_{n-1}…

math.DS2008★ 11 cited

On the Global Behavior of Solutions to a Planar System of Difference Equations

Sukanya Basu, Orlando Merino

We establish the relation between local stability of equilibria and slopes of critical curves for a specific class of difference equations. We then use this result to give global b…