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.
Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay.
Stability problem of some nonlinear difference equations.
Stability problems for linear differential and difference systems
In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.
Stability results for a class of difference systems with delay.
Stability zones for discrete time Hamiltonian systems
Steffensen's integral inequality on time scales.
Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics.
Structural stability of linear discrete systems via the exponential dichotomy
Sturm-Liouville difference equations and banded matrices
Subdominant positive solutions of the discrete equation .
Subexponential Solutions of Linear Volterra Difference Equations
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Sufficient conditions for oscillatory behaviour of a first order neutral difference equation with oscillating coefficients.
Sulle equazioni alle differenze con incrementi variabili.
Let X be an arbitrary Abelian group and E a Banach space. We consider the difference-operators ∆n defined by induction:(∆f)(x;y) = f(x+y) - f(x), (∆nf)(x;y1,...,yn) = (∆n-1(∆f)(.;y1)) (x;y2,...,yn)(n = 2,3,4,..., ∆1=∆, x,yi belonging to X, i = 1,2,...,n; f: X --> E).Considering the difference equation (∆nf)(x;y1,y2,...,yn) = d(x;y1,y2,...,yn) with independent variable increments, the most general solution is given explicitly if d: X x Xn --> E is a given bounded function. Also the...
Summation equations with sign changing kernels and applications to discrete fractional boundary value problems
We consider the summation equation, for , in the case where the map may change sign; here is a parameter, which may be understood as the order of an associated discrete fractional boundary value problem. In spite of the fact that is allowed to change sign, by introducing a new cone we are able to establish the existence of at least one positive solution to this problem by imposing some growth conditions on the functions and . Finally, as an application of the abstract existence result,...