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Asymptotic behavior of solutions of forced nonlinear neutral difference equations

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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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Authors and Affiliations

  1. Department of Mathematics, Human Institute of Technology, 414000, Yueyang, P. R. China

    Yuji Liu

  2. Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, P. R. China

    Weigao Ge

Authors
  1. Yuji Liu
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  2. Weigao Ge
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Correspondence to Yuji Liu.

Additional information

Liu Yuji was born in Human, China, in 1963. He received the B. S. degree in mathematics from Hunan Normal University, Changsha, China, in 1985. He is currently a, Doctoral Student at Beijing Institute of Technology, Beijing, China, and a Professor in the Department of Mathematics, Hunan Institute of Technology, Hunan, China. His research interests include applied mathematics, qualititive theory of differential equations and difference equations.

Ge Wei is currently a Doctoral Advisor at Beijing Institute of Technology, Beijing, China

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Liu, Y., Ge, W. Asymptotic behavior of solutions of forced nonlinear neutral difference equations. JAMC 16, 37–51 (2004). https://doi.org/10.1007/BF02936149

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  • DOI: https://doi.org/10.1007/BF02936149

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