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arXiv · 1408.0130

A topological approach to periodic oscillations related to the Liebau phenomenon

José Ángel Cid·Gennaro Infante·Milan Tvrdý·Mirosława Zima
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Abstract

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'ski\u\i{}-Guo theorem on cone expansion and compression. Our results improve and complement earlier ones in the literature.

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José Ángel Cid, Gennaro Infante, Milan Tvrdý, Mirosława Zima. 2014-08-01. A topological approach to periodic oscillations related to the Liebau phenomenon. https://doi.org/10.1016/j.jmaa.2014.10.054

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