Theory of Integral Equations - MAT 645

The course covers an introduction to the theory of linear and nonlinear integral equations. Solutions of Volterra and the Fredholm equations of the first and second kind. Fredholm’s alternative theorem. Orthonormal eigensystems of a symmetric Fredholm operator. The Hilbert-Schmidt expansion theorem and its applications to Sturm-Liouville problems. Prerequisite: MAT 641.