| 一类非线性方程的迭代解及应用 |
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| 引用本文： | 路慧芹,万玉.一类非线性方程的迭代解及应用[J].曲阜师范大学学报,2005,31(4):11-14. |
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| 作者姓名： | 路慧芹 万玉 |
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| 作者单位： | [1]山东师范大学数学学院,济南市250014 [2]青岛科技大学信息学院,山东省青岛市266042 |
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| 基金项目： | Project supported by the National Science Foundation of China （10471075） and the Mathematics Tianyuan Foundation of National Science Foundation of China（ A0324616）. |
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| 摘 要： | 利用锥理论和单调迭代方法研究了一类非线性方程解的存在唯一性及其迭代过程，对所述的映射没有作连续性、紧性或具有上、下解的假定．作为应用，把所获得的结果用到Banach空间一阶微分方程．
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| 关 键 词： | 锥理论 迭代方法 迭代解 |
| 文章编号： | 1001-5337（2005）04-0011-04 |
| 收稿时间： | 2004-03-28 |
| 修稿时间： | 2004-03-28 |
Iterative Solutions for a Class of Nonlinear Equations and Applications |
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| LU Hui-qin, WAN Yu.Iterative Solutions for a Class of Nonlinear Equations and Applications[J].Journal of Qufu Normal University(Natural Science),2005,31(4):11-14. |
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| Authors: | LU Hui-qin WAN Yu |
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| Institution: | 1 Department of Mathematics, Shandong Normal University, 250014, Jinan; 2 College of Information, Qingdao Science and Technology. University, 266042, Qingdao, Shandong, PRC |
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| Abstract: | The authors use the cone theory and monotone iterative method to wove the existence and uniqueness of solutions for a class of nonlinear equations without the assumption of the upper-lower solutions of operators. The results obtained in this paper are applied to the initial value problems for first order differential equations in Banach spaces. |
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| Keywords: | cone theory iterative method iterative solutions |
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