#integral-equations

45. Integral Equations

This volume studies equations where the unknown function appears under an integral. It connects functional analysis, differential equations, and applied mathematics. Part I. Foundations Chapter 1. Introduction to Integral Equations 1.1 Definitions and examples 1.2 Types: Fredholm and Volterra 1.3 Linear vs nonlinear equations 1.4 Kernel functions 1.5 Applications overview Chapter 2. Function Spaces 2.1 Spaces of continuous functions 2.2 Lp spaces 2.3 Norms and metrics 2.4 Completeness 2.5 Examples...