Non Oscillation of Second Order Non Linear Neutral Delay Difference Equations
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Abstract
: In the paper, we investigate the oscillatory and non-oscillatory behavior of solutions of second order non-linear neutral delay difference equations of the form ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 a n x n p n x n x n p n x n f n x n , 0 α τ τ σ − ∆ ∆ + ∆ + + = (1) where α > 0 is a constant, a n q n p n ( ), , ( ) ( ) are positive sequences. Some examples are provided to illustrate the results obtained in this paper.
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