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,...
Sums of an entire function in certain weighted L2-spaces.
We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.
Sur certaines équations aux différences mêlées
Sur la somme de certaines séries de factorielles
Sur le calcul des probabilités relatives à l'évolution d'un système
Sur l'équation aux différences affine du premier ordre unidimensionnelle
On étudie les phénomènes de retard à la bifurcation et de butée pour des systèmes discrets lents-rapides du plan. On donne une explication géométrique de ces phénomènes basée sur l’examen de fonctions reliefs. On démontre ensuite l’existence et la vie brève des longs canards, qui sont des trajectoires ne présentant pas de butée. Trois exemples illustrent ces phénomènes. Le premier expose la problématique, le second permet une expérimentation de l’étude théorique sur les longs canards, le troisième...