Almost periodic solutions of prey-predator discrete models with delay.
Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control
A class of nonautonomous discrete logistic single-species systems with time-varying pure-delays and feedback control is studied. By introducing a new research method, almost sufficient and necessary conditions for the permanence and extinction of species are obtained. Particularly, when the system degenerates into a periodic system, sufficient and necessary conditions on the permanence and extinction of species are obtained. Moreover, a very important fact is found in our results, that is, the feedback...
Alternate derivations of the stability region of a difference equation with two delays.
An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.
An analysis of the stability boundary for a linear fractional difference system
This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper J. Čermák, T. Kisela, and L. Nechvátal (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference...
An angle metric through the notion of Grassmann representative.
An Apéry-like difference equation for Catalan's constant.
An application of matrix calculus to an engineering problem.
An asymptotic result for some delay difference equations with continuous variable.
An estimate for the attraction domains of difference equations with periodic linear terms.
An example of local analytic q-difference equation : Analytic classification
Using the techniques developed by Jean Ecalle for the study of nonlinear differential equations, we prove that the -difference equationwith () and is analytically conjugated to one of the following equations :
An example of nonlinear -difference equation
An existence principle for nonlocal difference boundary value problems with -Laplacian and its application to singular problems.
An existence result for a multipoint boundary value problem on a time scale.
An extremal problem related to probability.
An improvement of the Grüss inequality.
An initial value problem for a functiona equation.
An inverse problem for the discrete periodic Schrödinger operator.
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
We establish an optimal, linear rate of convergence for the stochastic homogenization of discrete linear elliptic equations. We consider the model problem of independent and identically distributed coefficients on a discretized unit torus. We show that the difference between the solution to the random problem on the discretized torus and the first two terms of the two-scale asymptotic expansion has the same scaling as in the periodic case. In particular the L2-norm in probability of the H1-norm...
An ultradiscrete matrix version of the fourth Painlevé equation.