文章基本信息

标题：Properties of positive solutions for the operator equation A x = λ x $Ax=\lambda x$ and applications to fractional differential equations with integral boundary conditions
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作者：Chengbo Zhai ; Fang Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：366
DOI：10.1186/s13662-015-0704-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article we present a new fixed point theorem for a class of generalized concave operators and we establish some properties of positive solutions for the operator equation A x = λ x $Ax=\lambda x$ . Based on them, the existence and uniqueness of positive solutions for a class of fractional differential equations with integral boundary conditions is proved. Moreover, we present some properties of positive solutions to the boundary value problem dependent on the parameter.
关键词：positive solution ; generalized concave operator ; parameter ; fractional differential equation ; integral boundary condition