TY  - JOUR
ID  - Pinelas2017
LB  - Pinelas2017
AU  - Pinelas, Sandra
AU  - Dix, Julio G.
TI  - Oscillation of solutions to non-linear difference equations with several advanced arguments
ST  - Oscillation of solutions to non-linear difference equations with several advanced arguments
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 6
SP  - 887
EP  - 898
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.6.887
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.6.887
AB  - This work concerns the oscillation and asymptotic properties of solutions to the non-linear difference equation with advanced arguments \[x_{n+1}- x_n =\sum_{i=1}^m f_{i,n}( x_{n+h_{i,n}}).\] We establish sufficient conditions for the existence of positive, and negative solutions. Then we obtain conditions for solutions to be bounded, convergent to positive infinity and to negative infinity and to zero. Also we obtain conditions for all solutions to be oscillatory.
KW  - advanced difference equation
KW  - non-oscillatory solution
SN  - 1232-9274
ER  -