On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities
A family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and the author. A finite set of sectorial holomor...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/7985298 |
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| _version_ | 1832551008649084928 |
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| author | Stephane Malek |
| author_facet | Stephane Malek |
| author_sort | Stephane Malek |
| collection | DOAJ |
| description | A family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and the author. A finite set of sectorial holomorphic solutions is constructed by means of an enhanced version of a classical multisummability procedure due to W. Balser. These functions share a common asymptotic expansion in the perturbation parameter, which is shown to carry a double scale structure, which pairs q-Gevrey and Gevrey bounds. |
| format | Article |
| id | doaj-art-cf81cf3e6adc4299bcaeb6af58bce63d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cf81cf3e6adc4299bcaeb6af58bce63d2025-02-03T06:05:16ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/79852987985298On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time SingularitiesStephane Malek0University of Lille, Laboratoire Paul Painlevé, 59655 Villeneuve d’Ascq cedex, FranceA family of linear singularly perturbed difference differential equations is examined. These equations stand for an analog of singularly perturbed PDEs with irregular and Fuchsian singularities in the complex domain recently investigated by A. Lastra and the author. A finite set of sectorial holomorphic solutions is constructed by means of an enhanced version of a classical multisummability procedure due to W. Balser. These functions share a common asymptotic expansion in the perturbation parameter, which is shown to carry a double scale structure, which pairs q-Gevrey and Gevrey bounds.http://dx.doi.org/10.1155/2020/7985298 |
| spellingShingle | Stephane Malek On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities Abstract and Applied Analysis |
| title | On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities |
| title_full | On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities |
| title_fullStr | On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities |
| title_full_unstemmed | On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities |
| title_short | On a Partial q-Analog of a Singularly Perturbed Problem with Fuchsian and Irregular Time Singularities |
| title_sort | on a partial q analog of a singularly perturbed problem with fuchsian and irregular time singularities |
| url | http://dx.doi.org/10.1155/2020/7985298 |
| work_keys_str_mv | AT stephanemalek onapartialqanalogofasingularlyperturbedproblemwithfuchsianandirregulartimesingularities |