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Some results about uncertain differential equations with time-dependent delay

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  • Wang, Xiao
  • Ning, Yufu
  • Peng, Zhen

Abstract

Uncertain differential equations with time-dependent delay are a type of differential equations driven by Liu process. This paper mainly proves that this type of uncertain differential equations have unique solutions in the infinite domain under some conditions. In addition, we also focus on the stability of uncertain differential equations with time-dependent delay, and some correspondence results are shown in the form of theorems.

Suggested Citation

  • Wang, Xiao & Ning, Yufu & Peng, Zhen, 2020. "Some results about uncertain differential equations with time-dependent delay," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    • Handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307398
    DOI: 10.1016/j.amc.2019.124747
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    References listed on IDEAS

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    1. Bo Li & Yuanguo Zhu & Yuefen Chen, 2017. "The piecewise optimisation method for approximating uncertain optimal control problems under optimistic value criterion," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1766-1774, June.
    2. Jia, Lifen & Sheng, Yuhong, 2019. "Stability in distribution for uncertain delay differential equation," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 49-56.
    3. Wang, Xiao & Ning, Yufu & Moughal, Tauqir A. & Chen, Xiumei, 2015. "Adams–Simpson method for solving uncertain differential equation," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 209-219.
    4. Zhang, Yi & Gao, Jinwu & Huang, Zhiyong, 2017. "Hamming method for solving uncertain differential equations," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 331-341.
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    Cited by:

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    2. Shen, Jiayu, 2020. "An uncertain sustainable supply chain network," Applied Mathematics and Computation, Elsevier, vol. 378(C).

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