| Banach空间微分方程初值问题弱解的一个存在性定理 |
| |
| 引用本文： | 陈清明.Banach空间微分方程初值问题弱解的一个存在性定理[J].西南师范大学学报(自然科学版),1996,21(2):115-120. |
| |
| 作者姓名： | 陈清明 |
| |
| 作者单位： | 西南师范大学数学系 |
| |
| 摘 要： | 在弱耗散型条件ｌｉｍ／ｈ→０＾－１／ｈ［｜ψ（ｘ－ｙ＋ｈ（ｆ（ｔ，ｘ）－ｆ（ｔ，ｙ）））｜－ψ（ｘ－ｙ）｜］≤ｇ（ｔ，｜ψ（ｘ－ｙ）｜）下给出了Ｂａｎａｃｈ空间常微分方程初值问题弱解的一个存在性定理。
|
| 关 键 词： | 巴拿赫空间 初值问题 弱解 存在性 常微分方程 |
A existence theorem of solution in weak topologyof ordinary differential equation in Banach space |
| |
| Chen Qingming.A existence theorem of solution in weak topologyof ordinary differential equation in Banach space[J].Journal of Southwest China Normal University(Natural Science),1996,21(2):115-120. |
| |
| Authors: | Chen Qingming |
| |
| Abstract: | On the weak dissipative tab condition.a existence theorem of solution in weak topology of ordinary differential equation cauchy problem is es tablished.Theorem Supposes that:(i) Let E be a weakly sequence complete Banach space, f be a weakly weakly uniformly continu ous on R0 and(ii)The weak dissipsative type condition (* )holds.Then there exists a unique weak solution of cauchy problemont0,t0 a]where |
| |
| Keywords: | Banach space differential equation cauchy problem weak dissipative type condition weak solution existence |
| 本文献已被 CNKI 维普 等数据库收录！ |
