Asymptotic behavior of solutions of forced nonlinear neutral difference equations |
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Authors: | Yuji Liu Weigao Ge |
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Institution: | 1. Department of Mathematics, Human Institute of Technology, 414000, Yueyang, P. R. China 2. Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, P. R. China
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Abstract: | In this paper, we consider the asymptotic behavior of solutions of the forced nonlinear neutral difference equation $$\Delta \left {x(n) - \sum\limits_{i - 1}^m {p_i (n)x(n - k_i )} } \right] + \sum\limits_{j = 1}^s {q_j (n)f(x(n - l_j )) = r(n)} $$ with sign changing coefficients. Some sufficient conditions for every solution of (*) to tend to zero are established. The results extend and improve some known theorems in literature. |
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