Mathematica Eterna
Open Access

Abstract

Hyers-Ulam Stability Of Fredholm Integral Equation

Zhaohui Gu

We prove the Hyers-Ulam stability of Fredholm integral equation. That is, if x is an approximate solution of x(t) = f(t)+λ R b a K(t, s)x(s)ds, then there exists an exact solution of the differential equation near to x.