| 一阶微分方程终值问题拟解的存在性 |
| |
| 引用本文： | 刘孝磊,盖明久,张强.一阶微分方程终值问题拟解的存在性[J].海军航空工程学院学报,2013,28(4):455-458. |
| |
| 作者姓名： | 刘孝磊 盖明久 张强 |
| |
| 作者单位： | 海军航空工程学院基础部,山东烟台264001 |
| |
| 摘 要： | 利用拟上下解方法,研究了一阶微分方程终值问题u′(t)=f()t,u(t),u(T)=xT拟解的存在性,并通过构造单调迭代序列得到该终值问题的最大最小拟解。
|
| 关 键 词： | 终值问题 拟上下解 单调迭代 |
The Existence of Quasi-Solutions to Terminal Value Problemof One-Order Differential Equation |
| |
| LIU Xiao-lei,GAI Ming-jiu and ZHANG Qiang.The Existence of Quasi-Solutions to Terminal Value Problemof One-Order Differential Equation[J].Journal of Naval Aeronautical Engineering Institute,2013,28(4):455-458. |
| |
| Authors: | LIU Xiao-lei GAI Ming-jiu and ZHANG Qiang |
| |
| Institution: | (Department of Basic Sciences, NAAU, Yantai Shandong 264001, China) |
| |
| Abstract: | By using the method of quasi-upper and lower solutions, the existence of quasi-solutions to terminal value problem of one-order differential equation u＇（t）=f（t,u（t））,u（T）=xr was studied. The maximum-minimum quasi-solution-pair was obtained by constructing two monotone iteration sequences. |
| |
| Keywords: | terminal value problem quasi-upper and lower solutions ＇ monotone iteration |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《海军航空工程学院学报》浏览原始摘要信息 |
| 点击此处可从《海军航空工程学院学报》下载免费的PDF全文 |
