Solution estimates for a system of nonlinear integral equations arising in optometry

Abstract

In this paper, we investigate a system of nonlinear integral equations that has previously been proposed in modelling of the human cornea. The main result of our work is a construction of lower and upper estimates that bound the components of the exact solution to the system being considered. These results generalize some of the recent work by other authors. We conclude the paper with a numerical verification of our analytical estimates.