Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman

The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d?1 in the case Gevery with suitable sequence (Mn) in the ca...

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Main Authors: Latreche S., Guerbati K., Guefaifia R., Mekawy I., Alharbi A., Jan R.
Other Authors: 58976289100
Format: Article
Published: Elsevier B.V. 2025
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author Latreche S.
Guerbati K.
Guefaifia R.
Mekawy I.
Alharbi A.
Jan R.
author2 58976289100
author_facet 58976289100
Latreche S.
Guerbati K.
Guefaifia R.
Mekawy I.
Alharbi A.
Jan R.
author_sort Latreche S.
building UNITEN Library
collection Institutional Repository
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
continent Asia
country Malaysia
description The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d?1 in the case Gevery with suitable sequence (Mn) in the case Carleman. After that, we study the problem of existence and uniqueness of nonlinear Goursat problem in Denjoy?Carleman space. ? 2024 The Author(s)
format Article
id my.uniten.dspace-36654
institution Universiti Tenaga Nasional
publishDate 2025
publisher Elsevier B.V.
record_format dspace
spelling my.uniten.dspace-366542025-03-03T15:43:41Z Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman Latreche S. Guerbati K. Guefaifia R. Mekawy I. Alharbi A. Jan R. 58976289100 6505742596 56204312000 57222488593 57216649946 57205596279 The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d?1 in the case Gevery with suitable sequence (Mn) in the case Carleman. After that, we study the problem of existence and uniqueness of nonlinear Goursat problem in Denjoy?Carleman space. ? 2024 The Author(s) Final 2025-03-03T07:43:40Z 2025-03-03T07:43:40Z 2024 Article 10.1016/j.padiff.2024.100671 2-s2.0-85189799856 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189799856&doi=10.1016%2fj.padiff.2024.100671&partnerID=40&md5=d7e57a1d2d703cf3ebec8730d66c45c0 https://irepository.uniten.edu.my/handle/123456789/36654 10 100671 All Open Access; Gold Open Access Elsevier B.V. Scopus
spellingShingle Latreche S.
Guerbati K.
Guefaifia R.
Mekawy I.
Alharbi A.
Jan R.
Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title_full Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title_fullStr Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title_full_unstemmed Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title_short Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy?Carleman
title_sort existence and uniqueness of nonlinear goursat problem in the class of denjoy?carleman
url_provider http://dspace.uniten.edu.my/