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Dr. Essam Mohsen Abdel Hameed Awwad :: Publications: |
Title: | 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: | Not Available |
Journal: | Not Available |
Volume: | Not Available |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | Not Available |
Full paper | Essam Mohsen Abdel Hameed Awwad_OSCILLATION AND NONOSCILLATION OF NONLINEAR.pdf |
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. |