Abstract
We investigate the existence of positive solutions of singular problem (-1)(m)x((2m+1)) = f(t, x, ..., x((2m))), x(0) = 0, x((2i-1))(0) = x((2i-1))(T) = 0, 1 = i = m. Here, m = 1 and the Caratheodory function f(t, x(0), ..., x(2m)) may be singular in all its space variables x(0), ..., x(2m). The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.
| Original language | English (Ireland) |
|---|---|
| Article number | 368169 |
| Number of pages | 0 |
| Journal | Boundary Value Problems |
| Volume | 2010 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, RP;O'Regan, D;Stanek, S