TY  - JOUR
ID  - Selvarangam2019
LB  - Selvarangam2019
AU  - Selvarangam, S.
AU  - Rupadevi, S. A.
AU  - Thandapani, E.
AU  - Pinelas, S.
TI  - Oscillation criteria for even order neutral difference equations
ST  - Oscillation criteria for even order neutral difference equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 1
SP  - 91
EP  - 108
DO  - https://doi.org/10.7494/OpMath.2019.39.1.91
UR  - https://doi.org/10.7494/OpMath.2019.39.1.91
AB  - In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0\gt0,\] where \(m\geq 2\) is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.
KW  - even order
KW  - neutral difference equation
KW  - oscillation
KW  - asymptotic behavior
KW  - mixed type
SN  - 1232-9274
ER  -