| Banach空间中高阶常微分方程初边值问题的可解性 |
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| 引用本文： | 洪世煌,欧宜贵. Banach空间中高阶常微分方程初边值问题的可解性[J]. 数学物理学报(A辑), 1999, 0(Z1) |
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| 作者姓名： | 洪世煌 欧宜贵 |
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| 作者单位： | 海南大学理工学院!海口570228 |
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| 基金项目： | 海南省教育厅资助!琼教高（1998）28 |
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| 摘 要： | 利用基于度理论的不动点定理，该文给出了Ｂａｎａｃｈ空间中ｎ阶常微分方程的初、边值问题有解的某些充分条件，同时证明了一类最大最小解的存在性．推广了现有文献中的某些结果．
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| 关 键 词： | 边值问题 集压缩算子 不动点 非紧性测度 |
On the Solvability of Initial and Boundary Value Problems for High Order Ordinary Differential Equations in Banach Spaces |
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| Hong Shihuang,Ou Yigui. On the Solvability of Initial and Boundary Value Problems for High Order Ordinary Differential Equations in Banach Spaces[J]. Acta Mathematica Scientia, 1999, 0(Z1) |
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| Authors: | Hong Shihuang Ou Yigui |
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| Abstract: | In this paper, by using certain fixed points theorem based on the degree theory, some sufficient conditions for the existence of solutions of initial and boundary value prob lems for n order ordinary differential equations in Banach spaces are given, moreover, the authors get existence of maximal and minimal solutions. The results are extension of reference [1 - 2 ]. |
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| Keywords: | Boundary value problems Set-contract operators Fixed points Noncompactness measures. |
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