Abstract
We consider a Cauchy problem y′(x)+y2(x)=q(x), y(x)\x= x0=y0 where x0,y0∈R e q(x) ∈ L1loc(R) is a non-negative function satisfying the condition: ∫x -∞ q(t) dt > 0, ∫∞x q(t) dt > 0 for x ∈ R. We obtain the conditions under which y(x) can be continued to all of R. This depends on x0, y0 and the properties of q(x).
Original language | English |
---|---|
Pages (from-to) | 511-525 |
Number of pages | 15 |
Journal | Bollettino della Unione Matematica Italiana B |
Volume | 5 |
Issue number | 2 |
State | Published - Jun 2002 |