Applied Mathematics, Integral Equations

Integral Equations: Introduction (L1)

Posted by jessepfrancis on

We are familiar with differential equations: an equation involving one (or more) unknown function and its derivatives. Similarly, an integral equation is an equaiton in which an unknown function appears under one or more integral signs.

For example, for a\le s\le b,a\le t\le b, the equations

f(s)=\int_a^b {K(s,t)g(t)dt}

g(s)=f(s)+\int_a^b {K(s,t)g(t)dt}

g(s)=\int_a^b {K(s,t)[g(t)]^2dt}

where the function g(s) is the unknown function while all the other functions are known, are integral equations. Note that f(s), K(s,t) can be complex valued functions of real variables s and t.

Published by jessepfrancis

Christian. Artist. Mathematician. Programmer. Teacher. Visit https://mathematicos.in/aboutjesse/ for my full profile.

One Comment Add yours

  1. Pingback: Integral Equations: Contents (L0) – Mathematics, Education and Technology

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