- For which real numbers \(\alpha>0\) does \[ x'=x^\alpha,\qquad x(0)=0, \] have a solution on some interval \([0,b]\), \(b>0\)?
- For which values of \(\alpha\) are there intervals on which two solutions are defined?
Existence and nonuniqueness for $x'=x^\alpha$ at the zero solution
P-BKS78-13
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 1978
- Status
- draft