Existence and Stability of Periodic Solution Related to Valveless Pumping
Joint Authors
Michalková, Mária
Sága, M.
Dorociaková, Božena
Dorociaková, B.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Valveless pumping, also known as Liebau effect, can be described as the unidirectional flow of liquid in a system without valves that is caused by the asymmetry of placing of the periodically working pump.
Recently, the research in this field has been reevoked, partially due to its possible application in nanotechnologies.
In this paper, a configuration of one pipe and one tank is considered from the mathematical point of view.
Qualitative properties of a class of nonlinear differential equations that model the assumed system configuration are investigated.
New sufficient conditions for the existence of positive T -periodic solutions are given.
Correspondingly, exponential stability of periodic solution is treated.
Presented results are new.
They extend and complement earlier ones in the literature.
American Psychological Association (APA)
Dorociaková, B.& Michalková, Mária& Dorociaková, Božena& Sága, M.. 2018. Existence and Stability of Periodic Solution Related to Valveless Pumping. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1207241
Modern Language Association (MLA)
Dorociaková, B.…[et al.]. Existence and Stability of Periodic Solution Related to Valveless Pumping. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1207241
American Medical Association (AMA)
Dorociaková, B.& Michalková, Mária& Dorociaková, Božena& Sága, M.. Existence and Stability of Periodic Solution Related to Valveless Pumping. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1207241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207241