| 时间尺度上的一阶三点边值问题的多个正解分析(英文) |
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| 引用本文： | 刘萍,索剑锋,杜瑞霞.时间尺度上的一阶三点边值问题的多个正解分析(英文)[J].安徽大学学报(自然科学版),2011,35(6):9-14. |
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| 作者姓名： | 刘萍 索剑锋 杜瑞霞 |
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| 作者单位： | 云南大学数学系,云南昆明,650091 |
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| 基金项目： | Supported by the Natural Science Foundation of China(10961025); the Project of Education Department of Yunnan Province(2010Y246) |
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| 摘 要： | 时间尺度上的微积分基本理论为微分方程和差分方程的研究提供了统一的框架,同时也有广阔的应用前景.论文研究时间尺度上的一类非线性一阶微分方程的三点边值问题,利用Avery-Henderson不动点定理,建立了该边值问题至少两个正解存在性的充分条件.
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| 关 键 词： | 时间尺度 边值问题 正解 不动点定理 |
Existence of multiple positive solutions of first-order three point boundary value problems on time scales |
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| LIU Ping,SUO Jian-feng,DU Rui-xia.Existence of multiple positive solutions of first-order three point boundary value problems on time scales[J].Journal of Anhui University(Natural Sciences),2011,35(6):9-14. |
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| Authors: | LIU Ping SUO Jian-feng DU Rui-xia |
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| Institution: | LIU Ping,SUO Jian-feng,DU Rui-xia(Department of Mathematics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Basic theory of time scale calculus contains,links and extends the classical theory of differential and difference equations,that unites differential and difference equations into a general framework.Moreover,it has the broad application prospect.By using the well-known twin fixed point theorem due to Avery and Henderson,we establish the existence of at least two positive solutions for a nonlinear first order three point boundary value problem on time scale. |
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| Keywords: | time scale boundary value problem positive solution fixed point theorem |
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