[Everyday Mathematics]20150107
2015-01-05 20:37
387 查看
设 $f\in C^1[a,b]$, $f(a)=0$, 且存在 $\lm>0$, 使得 $$\bex |f'(x)|\leq \lm |f(x)|,\quad \forall\ x\in [a,b]. \eex$$ 试证: $f\equiv 0$.
相关文章推荐
- [Everyday Mathematics]20150111
- [Everyday Mathematics]20150120
- [Everyday Mathematics]20150204
- [Everyday Mathematics]20150227
- [Everyday Mathematics]20150112
- [Everyday Mathematics]20150121
- [Everyday Mathematics]20150205
- [Everyday Mathematics]20150305
- [Everyday Mathematics]20150122
- [Everyday Mathematics]20150206
- [Everyday Mathematics]20150113
- [Everyday Mathematics]20150123
- [Everyday Mathematics]20150207
- [Everyday Mathematics]20150214
- [Everyday Mathematics]20150124
- [Everyday Mathematics]20150208
- [Everyday Mathematics]20150215
- [Everyday Mathematics]20150114
- [Everyday Mathematics]20150125
- [Everyday Mathematics]20150209