Asymptotic formulae for nonlinear functional difference equations

Asymptotic Stability Results for Nonlinear Fractional Difference Equations

Asymptotic Stability for a Class of Nonlinear Difference Equations

1 College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China 2 Key Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China 3 College of Applied Sciences, Beijing University of Technology, Beijing 100124, China 4 School of Communication and I...

Stability of Nonlinear Functional Difference Equations

We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function in several variables. The error is estimated by a solution of an initial problem for nonlinear differential functional equation. We apply this general result to the investigation of the convergence of difference schemes generated by mixed problems fo...

Fixed points and asymptotic stability of nonlinear fractional difference equations

In this paper, we discuss nonlinear fractional difference equations with the Caputo like difference operator. Some asymptotic stability results of equations under investigated are obtained by employing Schauder fixed point theorem and discrete Arzela-Ascoli’s theorem. Three examples are also provided to illustrate our main results.

Asymptotic Behavior of Solutions of Nonlinear Difference Equations

The nonlinear difference equation (E) xn+1 − xn = anφn(xσ(n)) + bn, where (an), (bn) are real sequences, φn : −→ , (σ(n)) is a sequence of integers and lim n−→∞ σ(n) =∞, is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation yn+1 − yn = bn are given. Sufficient conditions under which for every real consta...