A sufficient condition for asymptotic stability of discrete-time interval system with delay.
A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities.
About the stability and positivity of a class of discrete nonlinear systems of difference equations.
Accurate solution estimates for nonlinear nonautonomous vector difference equations.
Almost periodic solutions of prey-predator discrete models with delay.
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 asymptotic result for some delay difference equations with continuous variable.
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 improvement of the Grüss inequality.
An initial value problem for a functiona equation.
An ultradiscrete matrix version of the fourth Painlevé equation.
Applications of Langenhop inequality to difference equations: Lower bounds and oscillation.
Asymptotic behavior of discrete solutions to impulsive logistic equations.
Asymptotic behavior of impulsive infinite delay difference equations with continuous variables.
Asymptotic behavior of solutions for neutral dynamic equations on time scales.
Asymptotic behavior of solutions for nonlinear Volterra discrete equations.
Asymptotic behavior of solutions of a scalar delay difference equations with continuous time.
Asymptotic behavior of solutions of a third order difference equation
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible and convex:...