A topological approach to periodic oscillations related to the Liebau phenomenon
classification
🧮 math.CA
keywords
approachliebauperiodicphenomenonrelatedtopologicalboundarycomplement
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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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