Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-16T22:15:20.987Z Has data issue: false hasContentIssue false
  • English
  • Français

Solution of a contact lens problem

Published online by Cambridge University Press:  26 September 2008

J. B. McLeod
J. B. McLeod
Affiliation:
OCIAM, University of Oxford, 24–29 St. Giles', Oxford, 0X1 3 LB, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we study the question of existence and uniqueness of solutions to the equation

which occurs in the modelling of hard contact lenses. Using ‘shooting’ arguments, we show that, depending on the parameters in the problem, there are cases where there is precisely one solution, others where there is more than one, and others where there are none.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 6 , December 1996 , pp. 595 - 602
Copyright
Copyright © Cambridge University Press 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Moriarty, J. A. & Terrill, E. L. (1995). Mathematical modelling of the motion of hard contact lenses. Euro. J. Appl. Math. (To appear).Google Scholar