A topological approach to periodic oscillations related to the Liebau phenomenon

作者：Cid J A^*; Infante G; Tvrdy M; Zima M

来源：Journal of Mathematical Analysis and Applications, 2015, 423(2): 1546-1556.

DOI：10.1016/j.jmaa.2014.10.054

• Valveless pumping
• Periodic boundary value problem
• Krasnosel'skii-Guo fixed point theorem
• Green's function

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.

• 出版日期2015-3-15