2026-06-08T01:05:25Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/338762024-07-19T15:23:18Zcom_20.500.14352_14col_20.500.14352_15
On a nonlinear boundary value problem modeling corneal shape
Płociniczak, Łukasz
Okrasinski, W.
Nieto, J. J.
Domínguez Bonilla, Óscar
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
2023-06-19T13:30:00Z
2023-06-19T13:30:00Z
2023-06-19T13:30:00Z
2014-06
journal article
https://hdl.handle.net/20.500.14352/33876
0022-247X
7dx.doi.org/10.1016/j.jmaa.2014.01.010
eng
NCN 2012/05/N/ST1/02860
MTM2010-15314
MTM2010-15814
FPU grant AP2012-0779
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.
restricted access
Elsevier