Recently added articles from Advances in Difference Equations:
Convergence of a mimetic finite difference method for static diffusion equation.(Research Article)(Report)
Jan 01, 2007; ... The numerical solution of partial differential equations with finite differences mimetic methods that satisfy properties of the continuum differential operators and mimic discrete versions of appropriate integral identities is more likely to produce better approximations. Recently, one of ...
Periodic solutions for subquadratic discrete hamiltonian systems.(Research Article)(Report)
Jan 01, 2007; ... Some existence conditions of periodic solutions are obtained for a class of nonautonomous subquadratic first-order discrete Hamiltonian systems by the minimax methods in the critical point theory. 1. Introduction and statement of main results We denote N, Z, R, C by ...
Global asymptotic stability in a class of difference equations.(Research Article)(Report)
Jan 01, 2007; ... We study the difference equation [x.sub.n] = [(f x [g.sub.1] + [g.sub.2] + h)/([g.sub.1] + f x [g.sub.2] + h)]([x.sub.n-1], ..., [x.sub.n-r]), n = 1, 2, ..., [x.sub.1-r], ..., [x.sub.0] > 0, where f, [g.sub.1],[g.sub.2]: ([R.sup.+])r [right arrow] [R.sup.+] and h: [([R.sup.+]).sup.r] ...
Linear impulsive periodic system with time-varying generating operators on Banach space.(Research Article)(Report)
Jan 01, 2007; ... A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of [T.sub.0]-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying ...
On a k-order system of Lyness-type difference equations.(Research Article)(Report)
Jan 01, 2007; ... We consider the following system of Lyness-type difference equations: [x.sub.1](n + 1) = ([a.sub.k][x.sub.k](n) + [b.sub.k])/[x.sub.k-1](n - 1), [x.sub.2](n + 1) = ([a.sub.1][x.sub.1](n) + [b.sub.1])/[x.sub.k](n - 1), [x.sub.i](n + 1) = ...