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Some problems on the global attractivity of linear nonautonomous difference equations

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Abstract

This paper is to solve several problems on the global attractivity of the zero solution of the nonautonomous difference equation \(x_{n + 1} - x_n + P_n x_{n - k_n } = 0,n \in \mathbb{Z} (0)\), where P n is a sequence of nonnegative real numbers, and k n is a sequence of nonnegative integers with nk n →∞ as n → ∞.

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Correspondence to Jianshe Yu.

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Yu, J., Guo, Z. Some problems on the global attractivity of linear nonautonomous difference equations. Sci. China Ser. A-Math. 46, 884–892 (2003). https://doi.org/10.1360/02ys0285

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