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Płociniczak, Łukasz Okrasinski, W. Nieto, J. J. Domínguez Bonilla, Óscar 2023-06-19T13:30:00Z 2023-06-19T13:30:00Z 2014-06 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. 0022-247X 7dx.doi.org/10.1016/j.jmaa.2014.01.010 https://hdl.handle.net/20.500.14352/33876 https//doi.org/7dx.doi.org/10.1016/j.jmaa.2014.01.010 http://www.sciencedirect.com/science/article/pii/S0022247X14000158 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 eng restricted access On a nonlinear boundary value problem modeling corneal shape journal article