Spectrum of linear difference operators and the solvability of nonlinear discrete problems.
Spektraltheorie linksdefiniter Differenzengleichungssysteme.
Stability analysis of discrete Hopfield neural networks with the nonnegative definite monotone increasing weight function matrix.
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays.
Stability and global attractivity for a class of nonlinear delay difference equations.
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Stability and stabilization of impulsive stochastic delay difference equations.
Stability for delayed generalized 2D discrete logistic systems.
Stability in a nonlinear four-term recurrence equation.
Stability in discrete equations with variable delays.
Stability in linear neutral difference equations with variable delays
In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Stability of a time discrete perturbed dynamical systems with delay.
Stability of difference analogue of linear mathematical inverted pendulum.
Stability of difference equations and applications to robustness problems.
Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Stability of linear dynamic systems on time scales.
Stability of nonlinear autonomous quadratic discrete systems in the critical case.
Stability of nonlinear functional difference equations.
Stability of nonlinear -difference systems with fractional orders
In the paper we study the subject of stability of systems with -differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with fractional orders. The equivalent descriptions of fractional -difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with -orders.
Stability of solutions for a family of nonlinear difference equations.