Sukanya Basu

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

11 citations · 11 across the 2 of their papers we have counts for

collaborators

2 papers

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…