| Contents |
| Volterra difference equations are widely used in modeling of processes in many branches of natural sciences, economics and engineering. They arise also by applying numerical methods to Volterra integral equations. We consider the Volterra difference equation
\[
x(n+1) = a(n) + b(n)x(n) + \sum\limits_{i=0}^{n}K(n,i)f\left(x(i)\right), \quad n\geq 0,
\]
and its special cases. We present sufficient conditions, under which, for every real constant, there exists a solution of the studied equation convergent to this constant. We present also sufficient conditions under which all solutions are asymptotically constant. Some boundedness, periodicity and stability results are also given. |
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