TY  - JOUR
ID  - Attia2022
LB  - Attia2022
AU  - Attia, Emad R.
AU  - El-Matary, Bassant M.
AU  - Chatzarakis, George E.
TI  - New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
ST  - New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 6
SP  - 769
EP  - 791
DO  - https://doi.org/10.7494/OpMath.2022.42.6.769
UR  - https://doi.org/10.7494/OpMath.2022.42.6.769
AB  - In this paper, we study the oscillatory behavior of the solutions of a first-order difference equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure. We establish some oscillation criteria, involving \(\lim \sup\), which achieve a marked improvement on several known conditions in the literature. Two examples, numerically solved in MAPLE software, are also given to illustrate the applicability and strength of the obtained conditions.
KW  - oscillation
KW  - difference equations
KW  - non-monotone argument
SN  - 1232-9274
ER  -