Abstract
Our aim in this paper is to investigate the global attractivity of the recursive sequence
where α, β, γ >0 andk=1,2,… We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.
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H. M. El-Owaidy received his B. Sc. Engin., B. Sc. Mathematics, Ph. D at Hungarian Academy of Sc. Budapest Hungary under the direction of Prof. Farkas Miklos. Since 1973 has been at Al-Azhar University, Cairo. He obtained the rank professor in 1983. His research interests in difference equations and bio-mathematics.
A. M. Ahmed obtained his B. Sc. (1997) and M. Sc. (2000) from Al-Azhar University. Now he is doing research in difference equations and its applications which leads to obtain Ph. D.
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El-Owaidy, H.M., Ahmed, A.M. & Elsady, Z. Global attractivity of the recursive sequence\(x_{n + 1} = \frac{{\alpha - \beta x_{n - k} }}{{\gamma + x_n }}\) . JAMC 16, 243–249 (2004). https://doi.org/10.1007/BF02936165
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DOI: https://doi.org/10.1007/BF02936165