The Global Attractivity of a Higher Order Rational Difference Equation
نویسندگان
چکیده
This paper studies global asymptotic stability for positive solutions to the equation yn = yn−kyn−lyn−m + yn−k + yn−l + yn−m 1 + yn−kyn−l + yn−kyn−m + yn−lyn−m , n = 0, 1, . . . , with y−m, y−m+1, . . . , y−1 ∈ (0,∞) and 1 ≤ k < l < m. The paper also includes a listing of possible semi-cycle structures for various (k, l, m). The results generalize several others in the recent literature.
منابع مشابه
Global attractivity in a quadratic-linear rational difference equation with delay
Global attractivity in a quadratic-linear rational difference equation with delay C.M. Kent & H. Sedaghat To cite this article: C.M. Kent & H. Sedaghat (2009) Global attractivity in a quadratic-linear rational difference equation with delay, Journal of Difference Equations and Applications, 15:10, 913-925, DOI: 10.1080/10236190802040992 To link to this article: http://dx.doi.org/10.1080/1023619...
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