TY - CHAP A1 - Francisco Bulnes ED1 - Francisco Bulnes Y1 - 2019-07-24 PY - 2019 T1 - Introductory Chapter: Frontier Research on Integral Equations and Recent Results N2 - Integral equations are functional equations in which an unknown function appears under an integral sign. This can involve aspects of function theory and their integral transforms when the unknown function appears with a functional non-degenerated kernel under the integral sign. The close relation between differential and integral equations does that in some functional analysis, and function theory problems may be formulated either way. This book establishes the fundamentals of integral equations and considers some deep research aspects on integral equations of first and second kind, operator theory applied to integral equations, methods to solve some nonlinear integral equations, and singular integral equations, among other things. This is the first volume on this theme, hoping that other volumes of this important functional analysis theme and operator theory to formal functional equations will be realized in the future. BT - Recent Advances in Integral Equations SP - Ch. 1 UR - https://doi.org/10.5772/intechopen.84197 DO - 10.5772/intechopen.84197 SN - 978-1-83880-657-6 PB - IntechOpen CY - Rijeka Y2 - 2020-10-19 ER -