Turkish Journal of Mathematics
Abstract
Third-order nonlinear difference equations of the form \Delta (c_n\Delta (d_n\Delta x_n))+p_n\Delta x_{n+1}+q_nf(x_{n-\sigma})=0, n\geq n_{0} are considered. Here, {c_n}, {d_n}, {p_n}, and {q_n} are sequences of positive real numbers for n_0 \in N, f is a continuous function such that f(u) /u\geq K > 0 for u \neq 0. By means of a Riccati transformation technique we obtain some new oscillation criteria. Examples are given to illustrate the importance of the results.
DOI
10.3906/mat-1010-67
Keywords
Difference equation, Delay, Third order, Oscillation, Nonoscillation, Riccati transformation
First Page
422
Last Page
436
Recommended Citation
AKTAŞ, MUSTAFA FAHRİ; TİRYAKİ, AYDIN; and ZAFER, AĞACIK
(2012)
"Oscillation of third-order nonlinear delay difference equations,"
Turkish Journal of Mathematics: Vol. 36:
No.
3, Article 8.
https://doi.org/10.3906/mat-1010-67
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss3/8