Person:
Domínguez Bonilla, Óscar

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First Name
Óscar
Last Name
Domínguez Bonilla
URI
https://hdl.handle.net/20.500.14352/75653
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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Author: Nieto, J. J. ×

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    On a nonlinear boundary value problem modeling corneal shape
    (Journal of Mathematical Analysis and Applications, 2014) 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