| Banach空间四阶非线性微分方程周期边值问题 |
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| 引用本文： | 戚仕硕.Banach空间四阶非线性微分方程周期边值问题[J].郑州大学学报(工学版),1996(4). |
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| 作者姓名： | 戚仕硕 |
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| 作者单位： | 商丘师专数学系 |
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| 摘 要： | 本文采用单调迭代技术研究了弱序列完备Ｂａｎａｃｈ空间中形如：Ｕ（４）＝ｆ（ｔ，ｕ，ｕ＇，ｕ＂，ｕ），ｕ（ｉ）（ａ）＝ｕ（ｉ）（ｂ），ｉ＝０，１，２，３的周期边值问题，首次得到了关于最大解与最小解的存在性定理。
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| 关 键 词： | Banach空间，非线性微分方程，周期边值 |
Question of Reriod Boundany Ualue of Four-order Nonlinear Differential Equations in Banch Space |
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| Qi Shishuo.Question of Reriod Boundany Ualue of Four-order Nonlinear Differential Equations in Banch Space[J].Journal of Zhengzhou University: Eng Sci,1996(4). |
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| Authors: | Qi Shishuo |
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| Affiliation: | Department of Mathematics of Shang qiu Teachers Institute |
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| Abstract: | In this paper,monotone iterative technique was used to study the question of Period boundary value of weak Sequence in Complete Banch space with patterns Such as: u(4) =f (t, u, u', u", u), u(i) (a) = u(i) (b), i= 0, 1, 2, 3 and reached the theory of lie -on principle about maximal Solution and minimal Solation |
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| Keywords: | banch space nonlinear differential equations period boundary value |
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