2026-06-07T23:45:59Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/338762024-07-19T15:23:18Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Płociniczak, Łukasz author Okrasinski, W. author Nieto, J. J. author Domínguez Bonilla, Óscar author 2014-06 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 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 On a nonlinear boundary value problem modeling corneal shape