Semipositone m-point boundary-value problems
| dc.contributor.author | Kosmatov, Nickolai | |
| dc.date.accessioned | 2021-05-14T14:48:15Z | |
| dc.date.available | 2021-05-14T14:48:15Z | |
| dc.date.issued | 2004-10-10 | |
| dc.description.abstract | We study the m-point nonlinear boundary-value problem -[p(t)u' (t)]' = λƒ (t, u(t)), 0 < t < 1, u'(0) = 0, ∑m-2i=1 αiu(ηi) = u(1), where 0 < η1 < η2 < ··· < ηm-2 < 1, αi > 0 for 1 ≤ i ≤ m - 2 and ∑m-2i=1 αi < 1, m ≥ 3. We assume that p(t) is non-increasing continuously differentiable on (0, 1) and p(t) > 0 on [0, 1]. Using a cone-theoretic approach we provide sufficient conditions on continuous ƒ(t, u) under which the problem admits a positive solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kosmatov, N. (2004). Semipositone m-point boundary-value problems. <i>Electronic Journal of Differential Equations, 2004</i>(119), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13540 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Green's function | |
| dc.subject | Fixed point theorem | |
| dc.subject | Positive solutions | |
| dc.subject | Multi-point boundary-value problem | |
| dc.title | Semipositone m-point boundary-value problems | |
| dc.type | Article |