TY  - JOUR
ID  - Berezansky2016
LB  - Berezansky2016
AU  - Berezansky, Leonid
AU  - Migda, Małgorzata
AU  - Schmeidel, Ewa
TI  - Some stability conditions for scalar Volterra difference equations
ST  - Some stability conditions for scalar Volterra difference equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 4
SP  - 459
EP  - 470
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.4.459
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.4.459
AB  - 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.
KW  - linear and nonlinear Volterra difference equations
KW  - boundedness of solutions
KW  - exponential and asymptotic stability
SN  - 1232-9274
ER  -