TY  - JOUR
ID  - Szafrańska2014
LB  - Szafrańska2014
AU  - Szafrańska, Anna
TI  - Difference functional inequalities and applications
ST  - Difference functional inequalities and applications
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 2
SP  - 405
EP  - 423
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.2.405
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.2.405
AB  - The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
KW  - initial boundary value problems
KW  - difference functional inequalities
KW  - difference methods
KW  - stability and convergence
KW  - interpolating operators
KW  - error estimates
SN  - 1232-9274
ER  -