Dynamics of the difference equation |
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| Authors: | M Jaberi Douraki Mehdi Dehghan Javad Mashreghi |
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| Affiliation: | aDépartement de mathématiques et de statistique, Faculté des sciences et de génie, Université Laval, Québec, QC, Canada G1V 0A6;bDepartment of Applied Mathematics, Faculty of Mathematics & Computer Sciences, Amirkabir University of Technology, No. 424 Hafez Avenue, 15914, Tehran, Iran |
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| Abstract: | We study the invariant interval, the character of semicycles, the global stability, and the boundedness of the difference equation where the initial conditions x−k,…,x−1,x0 are nonnegative, and p,q>0. |
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| Keywords: | Local asymptotic stability Invariant interval Semicycle behavior Global asymptotic stability Boundedness |
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