On a nonlinear boundary value problem modeling corneal shape
| dc.contributor.author | Płociniczak, Łukasz | |
| dc.contributor.author | Okrasinski, W. | |
| dc.contributor.author | Nieto, J. J. | |
| dc.contributor.author | Domínguez Bonilla, Óscar | |
| dc.date.accessioned | 2023-06-19T13:30:00Z | |
| dc.date.available | 2023-06-19T13:30:00Z | |
| dc.date.issued | 2014-06 | |
| dc.description.abstract | In this paper we present some results concerning a boundary value problem for a nonlinear ordinary differential equation that was used before in modeling the topography of human cornea. These results generalize previously obtained theorems on existence and uniqueness. We show that our equation has a unique solution for all parameters and conditions that can arise in physical situation. In the second part of the article we derive some new estimates and approximate solutions. Numerical calculations verify that these approximations are very accurate | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Polish Government | |
| dc.description.sponsorship | Ministerio de Economía, Comercio y Empresa (España) | |
| dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/29137 | |
| dc.identifier.citation | Płociniczak, Ł., Okrasinski, W., Nieto, J. J. & Domínguez Bonilla, Ó. «On a Nonlinear Boundary Value Problem Modeling Corneal Shape». Journal of Mathematical Analysis and Applications, vol. 414, n.o 1, junio de 2014, pp. 461-71. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2014.01.010. | |
| dc.identifier.doi | 7dx.doi.org/10.1016/j.jmaa.2014.01.010 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | https//doi.org/7dx.doi.org/10.1016/j.jmaa.2014.01.010 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0022247X14000158 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33876 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 471 | |
| dc.page.initial | 461 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | NCN 2012/05/N/ST1/02860 | |
| dc.relation.projectID | MTM2010-15314 | |
| dc.relation.projectID | MTM2010-15814 | |
| dc.relation.projectID | FPU grant AP2012-0779 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Boundary-value problem | |
| dc.subject.keyword | Corneal topography | |
| dc.subject.keyword | Estimates | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | On a nonlinear boundary value problem modeling corneal shape | en |
| dc.type | journal article | |
| dc.volume.number | 414 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | d810d5fb-713a-4676-aa2e-3fc94b61eea7 | |
| relation.isAuthorOfPublication.latestForDiscovery | d810d5fb-713a-4676-aa2e-3fc94b61eea7 |
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