Existence and uniqueness of solutions to a super-linear three-point boundary-value problem
| dc.contributor.author | Calvert, Bruce | |
| dc.contributor.author | Gupta, Chaitan P. | |
| dc.date.accessioned | 2021-05-18T18:31:22Z | |
| dc.date.available | 2021-05-18T18:31:22Z | |
| dc.date.issued | 2005-02-07 | |
| dc.description.abstract | In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less assumptions, and easy calculation of solutions. We even obtain uniqueness in the simplest case. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Calvert, B., & Gupta, C. P. (2005). Existence and uniqueness of solutions to a super-linear three-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2005</i>(19), p. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13590 | |
| 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Super-linear | |
| dc.subject | Three-point boundary-value problem | |
| dc.title | Existence and uniqueness of solutions to a super-linear three-point boundary-value problem | |
| dc.type | Article |