| Banach空间中一阶非线性脉冲奇异终值问题的唯一正解 |
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| 引用本文： | 张海燕.Banach空间中一阶非线性脉冲奇异终值问题的唯一正解[J].淮北煤炭师范学院学报(自然科学版),2011,32(2). |
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| 作者姓名： | 张海燕 |
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| 作者单位： | 宿州学院,数学与统计学院,安徽宿州234000 |
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| 基金项目： | 安徽省优秀青年人才基金项目(2011SQRZ153); 宿州学院硕士科研启动基金项目(2008yss22) |
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| 摘 要： | 文章利用不动点定理结合迭代技巧,获得Banach空间中一阶非线性脉冲奇异终值问题的唯一正解,给出带有误差估计的正解迭代序列,且文中的条件很容易被验证.
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| 关 键 词： | 脉冲奇异微分方程 不动点定理 唯一正解 Banach空间 |
A Unique Positive Solutions for First Order Nonlinear Impulsive Singular Terminal Value Problems on Infinite Interval in Banach Spaces |
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| ZHANG Hai-yan.A Unique Positive Solutions for First Order Nonlinear Impulsive Singular Terminal Value Problems on Infinite Interval in Banach Spaces[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2011,32(2). |
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| Authors: | ZHANG Hai-yan |
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| Institution: | ZHANG Hai-yan(School of Mathematics and Statistics,Suzhou University,234000,Suzhou,Anhui,China) |
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| Abstract: | In this paper,by applying the fixed point theory combined with a monotone iterative technique,we investigate the unique positive solutions for first-ordre nonlinear impulsive singular terminal value problems in Banach spaces.In addition,an explicit iterative sequence for approximating the positive solution of terminal value problems is derived together with an error estimate.Furthermore,the conditions of the theorems in this paper can be easily verified. |
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| Keywords: | impulsive singular differential euuations the fixed point theory unique positive solutions Banach spaces |
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