@Article{Berezansky2016, author = "Berezansky, Leonid and Migda, MaƂgorzata and Schmeidel, Ewa", title = "Some stability conditions for scalar Volterra difference equations", journal = "Opuscula Math.", year = "2016", volume = "36", number = "4", pages = "459--470", doi = "http://dx.doi.org/10.7494/OpMath.2016.36.4.459", url = "http://dx.doi.org/10.7494/OpMath.2016.36.4.459", abstract = "New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.", keywords = "linear and nonlinear Volterra difference equations, boundedness of solutions, exponential and asymptotic stability", issn = "1232-9274" }