| 一类广义非线性时滞微分方程的近似解析解 |
| |
| 引用本文： | 汪娜.一类广义非线性时滞微分方程的近似解析解[J].上海应用技术学院学报,2014,14(4):353-357. |
| |
| 作者姓名： | 汪娜 |
| |
| 作者单位： | 上海应用技术学院理学院,上海201418 |
| |
| 基金项目： | 上海应用技术学院引进人才基金资助项目（YJ2013-33） |
| |
| 摘 要： | 研究了一阶时滞非线性微分方程的近似解析解.以直接展开法为主要研究工具,首先运用直接展开法构造原问题的近似解表达式,再应用不动点定理给出原问题解的存在性的证明,最后借助数学软件MATLAB进行数值模拟,对其精确解及近似解进行对比,验证所得结果.
|
| 关 键 词： | 时滞 非线性微分方程 直接展开法 近似解析解 MATLAB |
The Approximate Analytic Solution of a Class of Generalized Nonlinear Delayed ODE |
| |
| WANG Na.The Approximate Analytic Solution of a Class of Generalized Nonlinear Delayed ODE[J].Journal of Shanghai Institute of Technology: Natural Science,2014,14(4):353-357. |
| |
| Authors: | WANG Na |
| |
| Institution: | (School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China) |
| |
| Abstract: | A class of approximate analytic solution of nonlinear differential equation with time-delay was studied.By using direct expansion method,the approximate solution expression of the original problem was constructed.Then the fixed point theorem was applied to prove the existence of solutions to the original problem.Finally,mathematical software MATLAB was employed for numerical simulation and comparison of the exact solution with the approximate solution to this problem,and the results were verified as well. |
| |
| Keywords: | time-delay nonlinear differential equation direct expansion method approximate analytic solution MATLAB |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《上海应用技术学院学报》浏览原始摘要信息 |
| 点击此处可从《上海应用技术学院学报》下载免费的PDF全文 |
