| Mikusinski算符演算在方程求解中的应用 |
| |
| 引用本文： | 周之虎. Mikusinski算符演算在方程求解中的应用[J]. 数学的实践与认识, 2004, 34(3): 134-147 |
| |
| 作者姓名： | 周之虎 |
| |
| 作者单位： | 安徽建筑工业学院管理工程系,安徽,合肥,230022 |
| |
| 基金项目： | 安徽省学术和技术带头人后备人选学术科研活动资助经费资助 (教人 [2 0 0 0 ]1 2 9号 ) |
| |
| 摘 要： | 就 Mikusinski算符演算在方程求解方面的研究进展情况和已获得的重要结果作一综述 ,其内容有常系数线性微分方程、差分方程的 M算符解法 ;变数算符概念及其相关结果 ;变系数线性常微分方程、差分方程、差分微分方程的 M算符解法以及 M算符演算在其他方程求解中的应用 .
|
| 关 键 词： | Mikusinski算符 变数算符 移动算符级数 变系数线性微分方程 变系数线性差分微分方程 |
| 修稿时间： | 2002-06-28 |
Apply Mikusinski′s Operational Calculus to Solution of Equation |
| |
| ZHOU Zhi-hu. Apply Mikusinski′s Operational Calculus to Solution of Equation[J]. Mathematics in Practice and Theory, 2004, 34(3): 134-147 |
| |
| Authors: | ZHOU Zhi-hu |
| |
| Abstract: | This paper is a summary of the study case and important conclusion for appling Mikusinski′s operational calculus to solution of equation. This is solutions of Mikusinski operator for the linear differential equation and the linear difference equation; the concept of variable operator and the corresponding conclusion; the solufions of Mikusinski operator for the linear differentiol equation, and differenee equation and difference differential equation with variable coefficients, and apply Mikusinski′s operational calculus to solutions of other equation. |
| |
| Keywords: | Mikusinski′s operator variable operator series of shifting operator linear differential equation (difference equation and difference differential equation) with variable coefficients |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
