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The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations

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  • Xiaofeng Zong
  • Fuke Wu
  • Chengming Huang

Abstract

Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition and examines the boundedness and exponential stability. Two illustrative examples are given to show the effectiveness of our theoretical results.

Suggested Citation

  • Xiaofeng Zong & Fuke Wu & Chengming Huang, 2013. "The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:138031
    DOI: 10.1155/2013/138031
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    References listed on IDEAS

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    1. Bao, Jianhai & Hou, Zhenting & Yuan, Chenggui, 2009. "Stability in distribution of neutral stochastic differential delay equations with Markovian switching," Statistics & Probability Letters, Elsevier, vol. 79(15), pages 1663-1673, August.
    2. Ravi Kumar, R. & Chong, Kil To, 2012. "The stability of distributed neutral delay differential systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 416-425.
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