On asymptotic behaviour of the difference equationX_{N + 1} = \alpha + \frac{{X_{N - 1} ^P }}{{X_N ^P }} |
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| Authors: | H M El-Owaidy A M Ahmed M S Mousa |
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| Institution: | 1. Mathematics Department, Faculty of Science, Al-Azhar University, 11884, Nasr City, Cairo, Egypt
2. Ajman University of Science and Technology, Ajman, Egypt
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| Abstract: | In this paper, we investigate local stability, oscillation and boundeness character of positive solutions of the difference equation $$x_{n + 1} = \alpha + \frac{{x_{n - 1} ^p }}{{x_n ^p }},n = 0,1,...$$ under specified conditions. |
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