Open access peer-reviewed Edited Volume

Recent Advances in Integral Equations

Edited by Francisco Bulnes

Investigación Internacional Avanzada en Matemáticas e Ingeniería (IINAMEI), Mexico

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.

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Recent Advances in Integral EquationsEdited by Francisco Bulnes

Published: July 24th 2019

DOI: 10.5772/intechopen.79094

ISBN: 978-1-83880-657-6

Print ISBN: 978-1-83880-658-3

eBook (PDF) ISBN: 978-1-83880-659-0

Copyright year: 2019

Books open for chapter submissions

3395 Total Chapter Downloads

3 Dimensions Citations


Open access peer-reviewed

1. Introductory Chapter: Frontier Research on Integral Equations and Recent Results

By Francisco Bulnes


Open access peer-reviewed

2. Contraction Mappings and Applications

By Nawab Hussain and Iram Iqbal


Open access peer-reviewed

3. A Probabilistic Interpretation of Nonlinear Integral Equations

By Isamu Dôku


Open access peer-reviewed

4. Computation of Two-Dimensional Fourier Transforms for Noisy Band-Limited Signals

By Weidong Chen


Open access peer-reviewed

5. Electro-magnetic Simulation Based on the Integral Form of Maxwell’s Equations

By Naofumi Kitsunezaki


Edited Volume and chapters are indexed in

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