IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n710150.html

Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality

Author

Listed:
  • Pei Cheng
  • Fengqi Yao
  • Mingang Hua

Abstract

The problem of stability for nonlinear impulsive stochastic functional differential equations with delayed impulses is addressed in this paper. Based on the comparison principle and an impulsive delay differential inequality, some exponential stability and asymptotical stability criteria are derived, which show that the system will be stable if the impulses’ frequency and amplitude are suitably related to the increase or decrease of the continuous stochastic flows. The obtained results complement ones from some recent works. Two examples are discussed to illustrate the effectiveness and advantages of our results.

Suggested Citation

  • Pei Cheng & Fengqi Yao & Mingang Hua, 2014. "Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:710150
    DOI: 10.1155/2014/710150
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/710150
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/710150?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Pei Cheng & Zheng Wu & Lianglong Wang, 2012. "New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Fengqi Yao & Feiqi Deng & Pei Cheng, 2013. "Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    3. Zheng Wu & Hao Huang & Lianglong Wang, 2012. "Exponential Stability of Impulsive Stochastic Functional Differential Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Fengqi Yao & Feiqi Deng & Pei Cheng, 2013. "Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Pei Cheng & Zheng Wu & Lianglong Wang, 2012. "New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, September.
    6. Yao, Fengqi & Deng, Feiqi, 2012. "Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1151-1159.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. R. Ezzati & M. Khodabin & Z. Sadati, 2014. "Numerical Implementation of Stochastic Operational Matrix Driven by a Fractional Brownian Motion for Solving a Stochastic Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.
    2. Fengqi Yao & Pei Cheng & Hao Shen & Li Qiu, 2014. "On Input‐to‐State Stability of Impulsive Stochastic Systems with Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Yanlei Wu, 2014. "Stability of Stochastic Differential Delay Systems with Delayed Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Fu, Xiaozheng & Zhu, Quanxin & Guo, Yingxin, 2019. "Stabilization of stochastic functional differential systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 776-789.
    5. Zheng Wu & Hao Huang & Lianglong Wang, 2013. "Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Zheng Wu & Hao Huang & Lianglong Wang, 2013. "Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Wei, Tengda & Lin, Ping & Zhu, Quanxin & Yao, Qi, 2021. "Instability of impulsive stochastic systems with application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 402(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:710150. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.