文章基本信息

标题：Eigenvalue of boundary value problem for nonlinear singular third-order q -difference equations
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作者：Changlong Yu ; Jufang 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：2014
卷号：2014
期号：1
页码：21
DOI：10.1186/1687-1847-2014-21
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish the existence of positive solutions of a boundary value problem for nonlinear singular third-order q-difference equations D q 3 u ( t ) + λ a ( t ) f ( u ( t ) ) = 0 , t ∈ I q , u ( 0 ) = 0 , D q u ( 0 ) = 0 , α D q u ( 1 ) + β D q 2 u ( 1 ) = 0 , by using Krasnoselskii’s fixed-point theorem on a cone, where λ is a positive parameter. Finally, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve known results.
关键词：q -difference equations ; positive solutions ; singular boundary value problem ; Krasnoselskii’s fixed-point theorem