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, M. F, TİRYAKİ, A, & ZAFER, A (2012). Oscillation of third-order nonlinear delay difference equations. Turkish Journal of Mathematics 36 (3): 422-436. https://doi.org/10.3906/mat-1010-67
