Existence and localization of solutions for fourth-order boundary-value problems
| dc.contributor.author | Enguica, Ricardo | |
| dc.contributor.author | Sanchez, Luis | |
| dc.date.accessioned | 2021-08-17T16:17:22Z | |
| dc.date.available | 2021-08-17T16:17:22Z | |
| dc.date.issued | 2007-09-28 | |
| dc.description.abstract | In this paper, we study the existence of solutions for the differential equation u(4)(t) = ƒ(t, u(t), u″(t)), where ƒ satisfies one-sided Lipschitz conditions with respect to u and u″, with periodic conditions or boundary conditions from "simply supported" beam theory. We assume the existence of lower and upper solutions (well-ordered and in some cases reversely ordered) and we make use of a fourth-order linear differential operator factorization. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Enguiça, R., & Sanchez, L. (2007). Existence and localization of solutions for fourth-order boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(127), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14341 | |
| 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 | Beam equation | |
| dc.subject | Fourth order boundary value problem | |
| dc.subject | Maximum principles | |
| dc.subject | Lower and upper solutions | |
| dc.subject | Reversed order | |
| dc.title | Existence and localization of solutions for fourth-order boundary-value problems | |
| dc.type | Article |