Introduction and Basic Functional Analysis

Abstract

The topic of this book is linear integral equations of which

$$\displaystyle{ \int _{a}^{b}K(x,y)\varphi (y)\,dy = f(x),\quad x \in [a,b], }$$

(1.1)

and

$$\displaystyle{ \varphi (x) -\int _{a}^{b}K(x,y)\varphi (y)\,dy = f(x),\quad x \in [a,b], }$$

(1.2)

are typical examples.