Integral Equations

Partial table of contents:

BASIC EXISTENCE THEOREMS.

Fixed Point Theorems.

Volterra Equations.

Kernels with Weak Singularities.

INTEGRAL EQUATIONS WITH L2 KERNELS.

Compact Operators.

Positive Operators.

Approximation of Eigenvalues.

Fredholm Equations with Self-Adjoint Compact Operators.

APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS.

FOURIER TRANSFORMS.

Laplace Transforms.

Hankel Transforms.

Mellin Transforms.

The Weiner-Hopf Technique I. The Weiner-Hopf Technique II.

THE FREDHOLM THEORY.

NONLINEAR INTEGRAL EQUATIONS.

The Schauder Fixed Point Theorem.

Index.