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'skiĭ-Guo theorem on cone expansion and compression. Our results improve and complement earlier ones in the literature.

A topological approach to periodic oscillations related to the Liebau phenomenon

INFANTE, GENNARO;
2015-01-01

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'skiĭ-Guo theorem on cone expansion and compression. Our results improve and complement earlier ones in the literature.
2015
Valveless pumping, Periodic boundary value problem, Krasnoselskiı–Guo fixed point theorem, Green’s function
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/147293
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