New results for the Liebau phenomenon via fixed point index

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• 作者：J.A. Cid^a ; ^{angelcid@uvigo.es} ; G. Infante^b ; ^{gennaro.infante@unical.it} ; M. Tvrdý ; ^c ; ^{tvrdy@math.cas.cz} ; M. Zima^d ; ^{mzima@ur.edu.pl}
• 关键词：Valveless pumping ; Periodic boundary value problem ; Cone ; Fixed point index ; Green&rsquo ; s function
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：35
• 期：Complete
• 页码：457-469
• 全文大小：652 K
• 卷排序：35

文摘

We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical fixed point index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature.