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Global attractivity of linear non-autonomous neutral differential-difference equations

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Abstract

In this paper, by constructing Liapunov functionals, we study the global attractivity of linear non-autonomous neutral differential difference equation

$$\tfrac{d}{{dt}}\left[ {x(t) - a(t)x(t - \tau )} \right] = - \mu (t)x(t) - b(t)x(t - \sigma ) + c(t)x(t - \gamma ),$$
((1))

and obtain some new easily-checked sufficient conditions for the global attractivity of the zero solution of equation (1).

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Authors and Affiliations

  1. Department of Mathematics, Ningxia University, 750021, Yinchuan, China

    He Xuezhong

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  1. He Xuezhong
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He, X. Global attractivity of linear non-autonomous neutral differential-difference equations. Acta Mathematicae Applicatae Sinica 11, 184–191 (1995). https://doi.org/10.1007/BF02013153

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  • DOI: https://doi.org/10.1007/BF02013153

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