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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
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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

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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