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一类分数阶微分方程多点边值问题的多重正解 被引量：2

Existence of Mutiple Positive Solution for Fractional Differential Equation m-point Boundary Value Problem
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摘要 利用锥不动点等定理证明一类分数阶微分方程m点边值问题多重正解的存在性,应用Leray-Schauder非线性抉择定理和Guo-Krasnosel'skii不动点定理得到了边值问题(1)的多重正解的存在性. By means of theorems fixed-point on cone, some existence and multiplicity of positive solutions are obtained. Application Laray-Schauder nonlinear decision and GuoKrasnoserskii fixed-point Theorem we obtained multipled normal solution existences for mpoint boundary value problem（l）.
作者 巴哈尔古力 张晓娜 胡卫敏
机构地区 伊犁师范学院数学与统计学院应用数学研究所
出处 《数学的实践与认识》 CSCD 北大核心 2013年第21期290-296,共7页 Mathematics in Practice and Theory
基金 新疆维吾尔自治区自然科学基金(201318101-14)
关键词 分数阶微分方程 多重正解 Guo—Krasnosel’skii不动点定理 fractional differential equation Guo-Krasnosel＇skii fixed-point multiplicity of positive solutions
分类号 O175.8 [理学—基础数学]
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  • 2LiHongyu,SunJingxian.POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2005,21(2):153-160. 被引量：11
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数学的实践与认识
2013年 第21期

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