Geodesic
Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations
Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 255-264.

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The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equation Δ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0 where n ∈ N(n0), α > 0, τ, σ are fixed non negative integers, {an}, {pn}, {qn} are real sequences and f and g real valued continuous functions are studied. Our results generalize and improve some known results of neutral delay difference equations.
Keywords: Oscillation, Quasi-Linear, Neutral Type, Delay Difference Equations 
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Thandapani, E.; Pandian, S.; Revathi, T. Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations. Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 255-264. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a4/