Nontrivial solution for a three-point boundary-value problem
| dc.contributor.author | Sun, Yong-Ping | |
| dc.date.accessioned | 2021-05-03T21:11:35Z | |
| dc.date.available | 2021-05-03T21:11:35Z | |
| dc.date.issued | 2004-09-22 | |
| dc.description.abstract | In this paper, we study the existence of nontrivial solutions for the second-order three-point boundary-value problem u'' + ƒ(t, u) = 0, 0 < t < 1, u'(0) = 0, u(1) = ɑu'(η). where η ∈ (0, 1), ɑ ∈ ℝ, ƒ ∈ C([0, 1] x ℝ, ℝ). Under certain growth conditions on the nonlinearity ƒ and by using Leray-Schauder nonlinear alternative, sufficient conditions for the existence of nontrivial solution are obtained. We illustrate the results obtained with some examples. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sun, Y. P. (2004). Nontrivial solution for a three-point boundary-value problem. Electronic Journal of Differential Equations, 2004(111), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13484 | |
| 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 | Three-point boundary-value problem | |
| dc.subject | Nontrivial solution | |
| dc.subject | Leray-Schauder nonlinear alternative | |
| dc.title | Nontrivial solution for a three-point boundary-value problem | |
| dc.type | Article |