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Oscillation of second order unstable neutral difference equations with continuous arguments

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Abstract

In this paper, we consider the oscillation second order unstable neutral difference equations with continuous arguments\(\Delta _\tau ^2 (x(t)) - px(t - \sigma )) = f(t,x(g(t)))\) and obtain some criteria for the bounded solutions of this equation to be oscillatory.

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Authors and Affiliations

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

    Yu Tian & Weigao Ge

  2. College of Mathematics and Information Science, Hebei Normal University, 050016, Hebei, P. R. China

    Zhenguo Zhang

Authors
  1. Yu Tian
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  2. Zhenguo Zhang
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  3. Weigao Ge
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Correspondence to Yu Tian.

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Supported by National Natural Sciences Foundation of P. R. China(10371006)

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Tian, Y., Zhang, Z. & Ge, W. Oscillation of second order unstable neutral difference equations with continuous arguments. J. Appl. Math. Comput. 20, 355–367 (2006). https://doi.org/10.1007/BF02831944

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  • DOI: https://doi.org/10.1007/BF02831944

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