Recent Advances in Integral Equations

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 be...

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Номзүйн дэлгэрэнгүй
Формат: Online
Хэл сонгох:англи
Хэвлэсэн: IntechOpen 2021
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Онлайн хандалт:ONIX_20210420_9781838806576_2344
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_version_ 1869516748515966976
collection Directory of Open Access Books
description 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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language eng
publishDate 2021
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publisherStr IntechOpen
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spelling doab-20.500.12854ir-669852024-04-04T14:41:17Z Recent Advances in Integral Equations Bulnes, Francisco Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics 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. 2021-04-20T15:59:24Z 2021-04-20T15:59:24Z 2019 book ONIX_20210420_9781838806576_2344 9781838806576 9781838806583 9781838806590 https://directory.doabooks.org/handle/20.500.12854/66985 eng image/jpeg n/a https://www.intechopen.com/books https://mts.intechopen.com/storage/books/8600/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.79094 10.5772/intechopen.79094 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781838806576 9781838806583 9781838806590 IntechOpen 100 open access
spellingShingle Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
Recent Advances in Integral Equations
title Recent Advances in Integral Equations
title_full Recent Advances in Integral Equations
title_fullStr Recent Advances in Integral Equations
title_full_unstemmed Recent Advances in Integral Equations
title_short Recent Advances in Integral Equations
title_sort recent advances in integral equations
topic Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
topic_facet Applied mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
url ONIX_20210420_9781838806576_2344