Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction

Author:

Du Haiqing1,Wang Xiaojing1,Du Bo1ORCID

Affiliation:

1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 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.

Funder

Natural Science Foundation of Huaian

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

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3. Periodic solutions of singular second order differential equations: The repulsive case;Hakl;Topol. Methods Nonlinear Anal.,2012

4. Periodic solutions of singular second order differential equations: Upper and lower functions;Hakl;Nonlinear Anal.,2011

5. Existence and Stability of Periodic Solution Related to Valveless Pumping;Olach;Math. Probl. Eng.,2018

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