Płociniczak, ŁukaszOkrasinski, W.Nieto, J. J.Domínguez Bonilla, Óscar2023-06-192023-06-192014-06Płociniczak, 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.2014.01.010.0022-247X7dx.doi.org/10.1016/j.jmaa.2014.01.010https://hdl.handle.net/20.500.14352/33876In 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 accurateengjournal articlehttps//doi.org/7dx.doi.org/10.1016/j.jmaa.2014.01.010http://www.sciencedirect.com/science/article/pii/S0022247X14000158restricted access517Boundary-value problemCorneal topographyEstimatesAnálisis matemático1202 Análisis y Análisis Funcional