| publication name | Oscillation and nonoscillation of nonlinear second order difference equations |
|---|---|
| Authors | M. M. A. El-Sheikh, M. H. Abd Alla and E. M. El-Maghrabi (E. Awwad) |
| year | 2006 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we study oscillation and nonoscillation behaviour of the second order nonlinear difference equations of the form Δ (r_n ψ (x_n) Δ x_n)+ q_ n+ 1 f (x_ n+ 1)= 0, n ∈ N (n_o), and Δ (r_n ψ (x_n) Δ x_n)+ q_n f (n, x_n)= 0, n ∈ N (n_o), where N (no)= no, no+ 1,…,(no is a fixed nonnegative integer number), Δx n= xn+ 1− xn is the forward difference operator, x: N (no)→ ℝ, r: N (no)→(0,∞), Ψ: ℝ→(0,∞), f is a real valued continuous function, and qn is a sequence of real valued.