| x'=g(x,t)+h(t)型方程的拓扑动力系统与Kurzweil-Henstock积分 |
| |
| 引用本文： | 李宝麟,薛小平.x''''=g(x,t)+h(t)型方程的拓扑动力系统与Kurzweil-Henstock积分[J].数学学报,2003(4). |
| |
| 作者姓名： | 李宝麟 薛小平 |
| |
| 作者单位： | 西北师范大学数学系，哈尔滨工业大学数学系 兰州 730070，哈尔滨 150001 |
| |
| 基金项目： | 国家自然科学基金(19671021)，NWNU-KJCXGC-212资助项目 |
| |
| 摘 要： | 本文借助Sell等人建立的局部动力系统理论,利用Kurzweil-Henstock积分,建立了x′=g(x,t)+h(t)型非自治微分方程的拓扑动力系统,为进一步讨论这种方程解的渐近行为作了基础性的工作.本文的工作也是Sell等人工作中有关结论的推广.
|
| 关 键 词： | Kurzweil-Henstock积分 局部动力系统 非自治微分方程 |
Topological Dynamics of Equation of the form x' = g(x, t) + h(t) and Kurzweil-Henstock Integral |
| |
| Bao Lin LI.Topological Dynamics of Equation of the form x'''' = g(x, t) + h(t) and Kurzweil-Henstock Integral[J].Acta Mathematica Sinica,2003(4). |
| |
| Authors: | Bao Lin LI |
| |
| Abstract: | By the theory of local dynamics system defined by Sell, by using the Kurzweil-Henstock integral, the local dynamics system of nonautonomous differential equations form x' = g(x, t) + h(t) is established. These results are of foundational significance of the works for further studying the asymptotic behavior of solutions of equations of the form x' = g(x,t) + hit). These results are also generalizations of some results in the works of Sell (see 1-12]). |
| |
| Keywords: | Kurzweil-Henstock integral Local dynamics system Nonautonomous differential equation |
| 本文献已被 CNKI 等数据库收录！ |
