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# Stability properties and existence of almost periodic solutions of volterra difference equations

• In order to obtain the existence of periodic and almost periodic solutions of Volterra difference equation: $x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s,x(n+s),x(n))$, we consider certain two stability properties, which are referred to as (K, $\rho$)-weakly uniformly asymptotically stable and (K, $\rho$)-uniformly asymptotically stable.
Mathematics Subject Classification: Primary: 39A11, 39A12.

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