IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i5p743-d759270.html
   My bibliography  Save this article

Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations

Author

Listed:
  • Fawaz E. Alsaadi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Lichao Feng

    (College of Science, North China University of Science and Technology, Tangshan 063210, China
    School of Mathematics, Southeast University, Nanjing 210096, China)

  • Madini O. Alassafi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Reem M. Alotaibi

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Adil M. Ahmad

    (Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Jinde Cao

    (School of Mathematics, Southeast University, Nanjing 210096, China
    Yonsei Frontier Lab, Yonsei University, Seoul 03722, Korea)

Abstract

Stochastic robustness of discrete noises has already been proposed and studied in the previous work. Nevertheless, the significant phenomenon of delays is left in the basket both in the deterministic and the stochastic parts of the considered equation by the existing work. Stimulated by the above, this paper is devoted to studying the stochastic robustness issue of delayed discrete noises for delay differential equations, including the issues of robust stability and robust boundedness.

Suggested Citation

  • Fawaz E. Alsaadi & Lichao Feng & Madini O. Alassafi & Reem M. Alotaibi & Adil M. Ahmad & Jinde Cao, 2022. "Stochastic Robustness of Delayed Discrete Noises for Delay Differential Equations," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:743-:d:759270
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/5/743/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/5/743/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wu, Fuke & Hu, Shigeng, 2011. "Khasminskii-type theorems for stochastic functional differential equations with infinite delay," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1690-1694, November.
    2. Wei Hu, 2018. "A New Stability Criterion for Neutral Stochastic Delay Differential Equations with Markovian Switching," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, October.
    Full references (including those not matched with items on IDEAS)

    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. Liu, Jiamin & Li, Zhao-Yan & Deng, Feiqi, 2021. "Asymptotic behavior analysis of Markovian switching neutral-type stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Mei, Hongwei & Yin, George & Wu, Fuke, 2016. "Properties of stochastic integro-differential equations with infinite delay: Regularity, ergodicity, weak sense Fokker–Planck equations," Stochastic Processes and their Applications, Elsevier, vol. 126(10), pages 3102-3123.
    3. Wang, Zhen & Li, Xiong & Lei, Jinzhi, 2014. "Moment boundedness of linear stochastic delay differential equations with distributed delay," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 586-612.
    4. Zhang, Tian & Chen, Huabin, 2019. "The stability with a general decay of stochastic delay differential equations with Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 294-307.
    5. Yunfeng Li & Pei Cheng & Zheng Wu, 2022. "Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    6. Liu, Zhiguang & Zhu, Quanxin, 2023. "Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses," Statistics & Probability Letters, Elsevier, vol. 199(C).
    7. Lu, Boliang & Zhu, Quanxin, 2024. "Stability of switched neutral stochastic functional systems with different structures under high nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    8. He, Danhua & Xu, Liguang, 2022. "Boundedness analysis of stochastic delay differential equations with Lévy noise," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    9. Zhou, Baoquan & Han, Bingtao & Jiang, Daqing, 2021. "Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Zhou, Shaobo & Hu, Yangzi, 2016. "Numerical approximation for nonlinear stochastic pantograph equations with Markovian switching," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 126-138.
    11. Feng, Lichao & Liu, Lei & Wu, Zhihui & Liu, Qiumei, 2021. "Stability analysis for nonlinear Markov jump neutral stochastic functional differential systems," Applied Mathematics and Computation, Elsevier, vol. 394(C).

    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:gam:jmathe:v:10:y:2022:i:5:p:743-:d:759270. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.