Asymptotic constancy of solutions of linear parabolic Volterra difference equations (Q1352796)

The authors obtain sufficient conditions for every solution of a class of initial boundary value problems for linear parabolic Volterra difference equations of neutral type, with homogeneous Neumann boundary conditions, to tend to a constant as \(n\rightarrow\infty\). The asymptotic constancy of solutions is also considered for a class of linear ordinary Volterra difference equations of neutral type.