摘要：In this paper, using the fixed point theorem, we investigate the boundedness and asymptotic stability of the zero solution of the discrete Volterra equation x ( n + 1 ) = a ( n ) + b ( n ) x ( n ) + ∑ i = n 0 n K ( n , i ) x ( i ) . $$x(n+1) = a(n)+ b(n)x(n) + \sum_{i=n_(}^{n}K(n,i)x(i). $$ Necessary conditions for the existence of a periodic solution of the above equation are also obtained.
