Stability of first order autonomous difference equations (Q2704954)

For the first-order autonomous difference equations with the continuity of the right-hand function \(f(x)\), the authors deal with the stability of the equilibrium points just in terms of the Dini left-hand and right-hand derivatives, which removes the restriction of the existence of continuous derivatives of relevant orders for \(f(x)\). Also, some examples are given to illustrate the applications of the obtained results.