Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations
Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 255-264
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
@article{SMJ2_2010_35_3_a4,
author = {Thandapani, E. and Pandian, S. and Revathi, T.},
title = {Oscillation {Criteria} of {Second-Order} {Quasi-Linear} {Neutral} {Delay} {Difference} {Equations}},
journal = {Serdica Mathematical Journal},
pages = {255--264},
year = {2010},
volume = {35},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a4/}
}
TY - JOUR AU - Thandapani, E. AU - Pandian, S. AU - Revathi, T. TI - Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations JO - Serdica Mathematical Journal PY - 2010 SP - 255 EP - 264 VL - 35 IS - 3 UR - http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a4/ LA - en ID - SMJ2_2010_35_3_a4 ER -
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/