Positive solutions of a nonlinear higher order boundary-value problem
| dc.contributor.author | Graef, John | |
| dc.contributor.author | Henderson, Johnny | |
| dc.contributor.author | Yang, Bo | |
| dc.date.accessioned | 2021-08-05T15:48:57Z | |
| dc.date.available | 2021-08-05T15:48:57Z | |
| dc.date.issued | 2007-03-15 | |
| dc.description.abstract | The authors consider the higher order boundary-value problem u(n)(t) = q(t)ƒ(u(t)), 0 ≤ t ≤ 1, u(i-1)(0) = u(n-2)(p) = u(n-1)(1) = 0, 1 ≤ i ≤ n - 2, where n ≥ 4 is an integer, and p ∈ (1/2, 1) is a constant. Sufficient conditions for the existence and nonexistence of positive solutions of this problem are obtained. The main results are illustrated with an example. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Graef, J. R., Henderson, J., & Yang, B. (2007). Positive solutions of a nonlinear higher order boundary-value problem. <i>Electronic Journal of Differential Equations, 2007</i>(45), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14206 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Existence and nonexistence of positive solutions | |
| dc.subject | Guo-Krasnosel'skii fixed point theorem | |
| dc.subject | Higher order boundary value problem | |
| dc.title | Positive solutions of a nonlinear higher order boundary-value problem | |
| dc.type | Article |