Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction

Haiqing Du, Xiaojing Wang and Bo Du ()
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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

Mathematics, 2023, vol. 11, issue 8, 1-11

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.

Keywords: valveless pumping; positive periodic solution; existence; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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