A topological approach to periodic oscillations related to the Liebau phenomenon

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Cid, J. A.¹  Infante, G.²  Tvrdy, M.³  Zima, M.⁴ 

[1] Univ Vigo, Dept Matemat, Vigo 32004, Spain

[2] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Cosenza, Italy

[3] Acad Sci Czech Republic, Math Inst, CZ-11567 Prague 1, Czech Republic

[4] Univ Rzeszow, Fac Math & Nat Sci, Dept Differential Equat & Stat, PL-35959 Rzeszow, Poland

关键词: Valveless pumping;    Periodic boundary value problem;    Krasnosel'skii-Guo fixed point theorem;    Green's function;   

DOI  :  10.1016/j.jmaa.2014.10.054

来源: Elsevier

【 摘 要 】

We give some sufficient conditions for existence, non-existence and localization of positive solutions for a periodic boundary value problem related to the Liebau phenomenon. Our approach is of topological nature and relies on the Krasnosel'skii-Guo theorem on cone expansion and compression. Our results improve and complement earlier ones in the literature. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free