Department of Mathematics, Berhampur University, 760 007 Berhampur, India
Abstract: Necessary and sufficient conditions are obtained for every solution of
\Delta(y_n+p_ny_{n-m})\pm q_nG(y_{n-k})=f_n
to oscillate or tend to zero as $n\to\infty$, where $p_n$, $q_n$ and $f_n$ are sequences of real numbers such that $q_n\geq0$. Different ranges for $p_n$ are considered.
Keywords: neutral difference equations, oscillation, nonoscillation, asymptotic behaviour
Classification (MSC 2000): 39A10, 39A12
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