Linear Integral Equations (IEL2)

Recollect An operator is called linear if . Integral Operator We can write an integral equations in terms of a linear operator, as in following examples. Let . Then we can write as . Similarly, can be rewritten in terms of a operator as well. Linear Integral Operator An integral operator is linear if it…

Integral Equations: Introduction (L1)

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 , the equations where the function g(s) is the unknown function while all the other functions…