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Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction

Author

Listed:
  • Haiqing Du

    (School of Mathematics and Statistics, Huaiyin Normal University, Huai’an 223300, China)

  • Xiaojing Wang

    (School of Mathematics and Statistics, Huaiyin Normal University, Huai’an 223300, China)

  • Bo Du

    (School of Mathematics and Statistics, Huaiyin Normal University, Huai’an 223300, China)

Abstract

In this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system. We establish some conditions for globally asymptotic stability and the existence of a positive periodic solution to the considered equation. Finally, a numerical example shows that the theoretical results in this paper are feasible.

Suggested Citation

  • Haiqing Du & Xiaojing Wang & Bo Du, 2023. "Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction," Mathematics, MDPI, vol. 11(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1789-:d:1119192
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    References listed on IDEAS

    as
    1. Mingli Xia & Linna Liu & Jianyin Fang & Yicheng Zhang, 2023. "Stability Analysis for a Class of Stochastic Differential Equations with Impulses," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    2. Ruofeng Rao & Zhi Lin & Xiaoquan Ai & Jiarui Wu, 2022. "Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    3. B. Dorociaková & M. Michalková & R. Olach & M. Sága, 2018. "Existence and Stability of Periodic Solution Related to Valveless Pumping," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, November.
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