| Banach空间中一类线性完全二阶微分方程的适定性 |
| |
| 引用本文： | 肖体俊. Banach空间中一类线性完全二阶微分方程的适定性[J]. 四川大学学报(自然科学版), 1988, 0(4) |
| |
| 作者姓名： | 肖体俊 |
| |
| 摘 要： | 本文讨论了Banach空间中的线性完全二阶微分方程u″(t)+Bu′(t)+Au(t)=0在B有界时,共Cauchy问题的适定性问题,得到了一个充分必要条件.
|
| 关 键 词： | Eanach空间 二阶线性微分方程 Cauchy问题 适定性 |
THE WELL-POSEDNESS OF A KIND OF COMPLETE LINEAR SECOND ORDER DIFFERENTIAL EQUATION IN BANACH SPACE |
| |
| Xiao Tijun. THE WELL-POSEDNESS OF A KIND OF COMPLETE LINEAR SECOND ORDER DIFFERENTIAL EQUATION IN BANACH SPACE[J]. Journal of Sichuan University (Natural Science Edition), 1988, 0(4) |
| |
| Authors: | Xiao Tijun |
| |
| Abstract: | This paper is concerned with the well-posedness of the Gauchy problem for the complete linear second order differential equation u" (t) +Bu' (t)+Au(t)=0 in a Banach space E, where A is a densely defined closeed linear operator and B a bounded linear operator. A equivalent condition is obtained. |
| |
| Keywords: | Banach space second-order linear differential equation Cauchy problem well-poscdness. |
| 本文献已被 CNKI 等数据库收录！ |
