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On the oscillation of third order nonlinear difference equations |
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| Authors: | Ravi P Agarwal Said R Grace Patricia J Y Wong |
| Institution: | 1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA 2. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, 12221, Egypt 3. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore |
| Abstract: | Some new criteria for the oscillation of third order nonlinear difference equations $$\begin{array}{l}\Delta^{2}\bigl(\frac{1}{a(k)}(\Delta x(k))^{\alpha}\bigr)+q(k)f(xg(k)])=0\quad\mbox{and}\\6pt]\Delta^{2}\bigl(\frac{1}{a(k)}(\Delta x(k))^{\alpha}\bigr)=q(k)f(xg(k)])+p(k)h(x\sigma(k)])\end{array}$$ are established. |
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