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Stability of perturbed neutral differential equations with positive and negative coefficients

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Abstract

In this paper the perturbed neutral differential equation with positive and negative coefficients

$$\frac{d}{{dt}}[x(t) - C(t)x(t - r)] + P(t)x(t - r) - Q(t)x(t - \sigma ) = f(t,x(t)),{\text{ }}t \geqslant t_0 $$

is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.

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References

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Authors and Affiliations

  1. Dept. of Appl. Math., Donghua Univ., 200051, Shanghai, China

    Ye Haiping & Gao Guozhu

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  1. Ye Haiping
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  2. Gao Guozhu
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Supported by the Science Foundation of Donghua University.

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Ye, H., Gao, G. Stability of perturbed neutral differential equations with positive and negative coefficients. Appl. Math. Chin. Univ. 17, 267–272 (2002). https://doi.org/10.1007/s11766-002-0003-0

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  • DOI: https://doi.org/10.1007/s11766-002-0003-0

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