RT Journal Article
T1 On a nonlinear boundary value problem modeling corneal shape
A1 Płociniczak, Łukasz
A1 Okrasinski, W.
A1 Nieto, J. J.
A1 Domínguez Bonilla, Óscar
AB 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
PB Elsevier
SN 0022-247X
YR 2014
FD 2014-06
LK https://hdl.handle.net/20.500.14352/33876
UL https://hdl.handle.net/20.500.14352/33876
LA eng
NO 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.
NO Polish Government
NO Ministerio de Economía, Comercio y Empresa (España)
NO Fondo Europeo de Desarrollo Regional
DS Docta Complutense
RD 8 abr 2025