On a fixed point theorem of mixed monotone operators and applications

In this paper, by introducing $\tau-\varphi-$ mixed monotone operators in ordered Banach spaces, the existence and uniqueness theorems for the operators are obtained. In the end, the new results are used to study the existence of positive solutions to second order equations with Neumann boundary con...

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Bibliographic Details
Main Authors: Xingchang Li, Zengqin Zhao
Format: Article
Language:English
Published: University of Szeged 2011-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=650