A discrete equivalent of the logistic equation.
Existence and uniqueness of analytic solutions of the Shabat equation.
On the complex zeros of some families of orthogonal polynomials.
A functional-analytic method for the study of difference equations.
On some specific nonlinear ordinary difference equations
Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane
An existence and uniqueness theorem for solutions in the Banach space of a nonlinear difference equation is given. The constructive character of the proof of the theorem predicts local asymptotic stability and gives information about the size of the region of attraction near equilibrium points.
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