Explicit conditions for stability of nonlinear scalar delay impulsive difference equation.
Generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-archimedean spaces.
Global asymptotic stability for a fourth-order rational difference equation.
Global attractivity of a family of max-type difference equations.
Global attractor for nonlinear recurrence of second order
This paper contains some sufficient condition for the point zero to be a global attractor for nonlinear recurrence of second order.
Global behavior of a higher-order difference equation.
Global behavior of a third order rational difference equation
In this paper, we determine the forbidden set and give an explicit formula for the solutions of the difference equation where , , are positive real numbers and the initial conditions , , are real numbers. We show that every admissible solution of that equation converges to zero if either or with . When with , we prove that every admissible solution is unbounded. Finally, when , we prove that every admissible solution converges to zero.
Global behavior of the difference equation
In this paper, we introduce an explicit formula and discuss the global behavior of solutions of the difference equation where are positive real numbers and the initial conditions , , , are real numbers.
Global dynamics of a competitive system of rational difference equations in the plane.
Global stability and oscillation of a discrete annual plants model.
Global stability of a rational difference equation.
Hyers-Ulam stability of polynomial equations.
Inequalities that lead to exponential stability and instability in delay difference equations.
Initial data stability and admissibility of spaces for Itô linear difference equations
The admissibility of spaces for Itô functional difference equations is investigated by the method of modeling equations. The problem of space admissibility is closely connected with the initial data stability problem of solutions for Itô delay differential equations. For these equations the -stability of initial data solutions is studied as a special case of admissibility of spaces for the corresponding Itô functional difference equation. In most cases, this approach seems to be more constructive...
Long-term behavior of solutions of the difference equation .
Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics
In order to study the impact of fishing on a grouper population, we propose in this paper to model the dynamics of a grouper population in a fishing territory by using structured models. For that purpose, we have integrated the natural population growth, the fishing, the competition for shelter and the dispersion. The dispersion was considered as a consequence of the competition. First we prove, that the grouper stocks may be less sensitive to the...
Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays
By using the semi-discrete method of differential equations, a new version of discrete analogue of stochastic shunting inhibitory cellular neural networks (SICNNs) is formulated, which gives a more accurate characterization for continuous-time stochastic SICNNs than that by Euler scheme. Firstly, the existence of the 2th mean almost periodic sequence solution of the discrete-time stochastic SICNNs is investigated with the help of Minkowski inequality, Hölder inequality and Krasnoselskii's fixed...
On dichotomous behavior of variational difference equations and applications.
On exponential dichotomy of variational difference equations.
On Exponential Stability of Volterra Difference Equations with Infinite Delay
General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.