Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation

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成果类型：

期刊论文

作者：

Liu Yang;Haibo Chen;Liping Luo;Zhenguo Luo

通讯作者：

Yang, L.(yangliu19731974@yahoo.com.cn)

作者机构：

[Liu Yang; Liping Luo; Zhenguo Luo] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, People’s Republic of China

[Haibo Chen] Department of Mathematics, Central South University, Changsha, People’s Republic of China

通讯机构：

[Liu Yang] D

Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, People’s Republic of China

语种：

英文

关键词：

Existence and uniqueness;Iterative schemes;Positive solution;Q-difference equation;Successive iteration;Boundary value problems;Difference equations

期刊：

Journal of Applied Mathematics and Computing

ISSN：

1598-5865

年：

2013

卷：

期：

1-2

页码：

89-102

DOI：

10.1007/s12190-012-0622-4

基金类别：

The first author was supported by the Natural Science Foundation of Hunan Province (2012), Hunan Provincial Department of Science and Technology project (2012sk3117) and Hengyang Normal University Doctoral Science Foundation (11B35). The second author was supported by NFSC (10871206).

机构署名：

本校为第一且通讯机构

院系归属：

数学与统计学院

摘要：

In this paper, we investigate the positive solutions for a class of nonlinear q-fractional boundary value problem. We not only obtain the existence and uniqueness of positive solutions, but also establish the iterative schemes for approximating the solutions, which is benefit for computation and application. © 2012 Korean Society fo...

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Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation

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