Multiple positive solutions for nonlinear third-order three-point boundary-value problems
| dc.contributor.author | Guo, Li-Jun | |
| dc.contributor.author | Sun, Jian-Ping | |
| dc.contributor.author | Zhao, Ya-Hong | |
| dc.date.accessioned | 2021-08-17T13:36:37Z | |
| dc.date.available | 2021-08-17T13:36:37Z | |
| dc.date.issued | 2007-08-18 | |
| dc.description.abstract | This paper concerns the nonlinear third-order three-point boundary-value problem u‴(t) + h(t)ƒ(u(t)) = 0, t ∈ (0, 1), u(0) = u′(0) = 0, u′(1) = αu′(η), where 0 < η < 1 and 1 < α < 1/η. First, we establish the existence of at least three positive solutions by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2m - 1 positive solutions for arbitrary positive integer m. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Guo, L. J., Sun, J. P., & Zhao, Y. H. (2007). Multiple positive solutions for nonlinear third-order three-point boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(112), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14327 | |
| 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 | Third-order boundary value problem | |
| dc.subject | Positive solution | |
| dc.subject | Three-point boundary value problem | |
| dc.subject | Existence | |
| dc.subject | Cone | |
| dc.subject | Fixed point | |
| dc.title | Multiple positive solutions for nonlinear third-order three-point boundary-value problems | |
| dc.type | Article |