New results for the Liebau phenomenon via fixed point index
Classical Analysis and ODEs
2017-12-08 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1606.03602,
title = {New results for the Liebau phenomenon via fixed point index},
author = {José Ángel Cid and Gennaro Infante and Milan Tvrdý and Mirosława Zima},
journal= {arXiv preprint arXiv:1606.03602},
year = {2017}
}
Comments
16 pages, 2 figures