On real continuous solutions of algebraic difference equations
On real continuous solutions of algebraic difference equations
This paper considers the behaviour at infinity of real continuous solutions of algebraic difference equations (1) P(y(x + m),-• • ,y(x), x) = 0where P is a polynomial with real coefficients in its arguments y(x+m),• • • , y(x) and x.The problem was first treated by Lancaster, 1 who obtained …