y(x)=f(x)+λ∫abK(x,t)y(t)dty open paren x close paren equals f of x plus lambda integral from a to b of cap K open paren x comma t close paren y open paren t close paren space d t is known as the of the equation, and is a scalar parameter. Volterra Integral Equations

Solving integral equations analytically can be challenging, and often, numerical methods are employed. Techniques include:

Is Introduction to Integral Equations with Applications the best book ever written? For pure mathematicians, maybe not (they prefer Tricomi or Kanwal). For applied people?

Covers everything from basic definitions to advanced numerical techniques, including nonlinear equations and integral equations in higher dimensions.

is a highly-regarded, applied textbook designed for senior undergraduates, graduate students, and professionals in engineering and the physical sciences. Google Books Core Focus & Structure

Jerri begins with the fundamentals. You will learn the differences between: