| Banach空间中一阶非线性微分方程组边值问题解的存在性 |
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| 引用本文： | 李耀红.Banach空间中一阶非线性微分方程组边值问题解的存在性[J].泰山学院学报,2010,32(6):5-9. |
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| 作者姓名： | 李耀红 |
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| 作者单位： | 宿州学院数学与统计学院; |
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| 基金项目： | 安徽省高等学校自然科学研究项目，宿州学院自然科学基金 |
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| 摘 要： | 本文利用一个新的比较结果和Mo¨nch不动点定理,研究了Banach空间中一阶非线性微分方程组边值问题解的存在性,改进和推广了现有的结果.
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| 关 键 词： | 微分方程组 边值问题 不动点定理 非紧性测度 |
Existence of Solutions of Boundary Value Problems for Systems of Nonlinear First-order Differential Equations in Banach Spaces |
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| LI Yao-hong.Existence of Solutions of Boundary Value Problems for Systems of Nonlinear First-order Differential Equations in Banach Spaces[J].Journal of Taishan University,2010,32(6):5-9. |
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| Authors: | LI Yao-hong |
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| Institution: | LI Yao-hong(School of Mathematics and Statistics,Suzhou University,Suzhou,234000,China) |
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| Abstract: | In this paper,by using a new established comparison result and Mo¨nch fixed theorem,the author studies the existence of solutions of boundary value problens for systems of nonlinear first-order differential equations in Banach spaces.The results here improve and generalize some known results. |
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| Keywords: | systems of differential equations boundary value problems fixed point theorem measure of noncompactness |
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