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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2025
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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 |
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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) |
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58976289100 |
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58976289100 Latreche S. Guerbati K. Guefaifia R. Mekawy I. Alharbi A. Jan R. |
| format |
Article |
| author |
Latreche S. Guerbati K. Guefaifia R. Mekawy I. Alharbi A. Jan R. |
| 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 |
| author_sort |
Latreche S. |
| title |
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_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_sort |
existence and uniqueness of nonlinear goursat problem in the class of denjoy?carleman |
| publisher |
Elsevier B.V. |
| publishDate |
2025 |
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1825816279552884736 |