The Method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem
| dc.contributor.author | Jia, Mei | |
| dc.contributor.author | Liu, Xiping | |
| dc.date.accessioned | 2021-08-17T14:26:26Z | |
| dc.date.available | 2021-08-17T14:26:26Z | |
| dc.date.issued | 2007-08-30 | |
| dc.description.abstract | This paper studies the existence and uniqueness of solutions for a type of second-order two-point boundary-value problem depending on the first-order derivative through a non-linear term. By constructing a special cone and using the upper and lower solutions method, we obtain the sufficient conditions of the existence and uniqueness of solutions, and a monotone iterative sequence solving the boundary-value problem. An error estimate formula is also given under the condition of a unique solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Jia, M., & Liu, X. (2007). The Method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2007</i>(116), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14331 | |
| 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 | upper and lower solutions | |
| dc.subject | cone | |
| dc.subject | monotone iterative method | |
| dc.title | The Method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem | |
| dc.type | Article |