A class of singularly perturbed Robin boundary value problems in critical case
This paper discusses a class of nonlinear singular perturbation problems with Robin boundary values in critical cases. By using the boundary layer function method and successive approximation theory, the corresponding asymptotic expansions of small parameters are constructed, and the existence of un...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2023-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10132 |
| _version_ | 1797352383802507264 |
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| author | Hao Zhang Na Wang |
| author_facet | Hao Zhang Na Wang |
| author_sort | Hao Zhang |
| collection | DOAJ |
| description | This paper discusses a class of nonlinear singular perturbation problems with Robin boundary values in critical cases. By using the boundary layer function method and successive approximation theory, the corresponding asymptotic expansions of small parameters are constructed, and the existence of uniformly efficient smooth solutions is proved. Meanwhile, we give a concrete example to prove the validity of our results. |
| first_indexed | 2024-03-08T13:15:44Z |
| format | Article |
| id | doaj.art-c376644a908d4da0b8aa50cbaccd7db2 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-03-08T13:15:44Z |
| publishDate | 2023-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-c376644a908d4da0b8aa50cbaccd7db22024-01-18T08:28:07ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752023-08-0120233411810.14232/ejqtde.2023.1.3410132A class of singularly perturbed Robin boundary value problems in critical caseHao Zhang0Na Wang1School of Mathematical Sciences, Minghang Campus, East China Normal University, Shanghai, P.R. ChinaDepartment of Applied Mathematics, Shanghai Institute of Technology, Shanghai, P. R. ChinaThis paper discusses a class of nonlinear singular perturbation problems with Robin boundary values in critical cases. By using the boundary layer function method and successive approximation theory, the corresponding asymptotic expansions of small parameters are constructed, and the existence of uniformly efficient smooth solutions is proved. Meanwhile, we give a concrete example to prove the validity of our results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10132critical casesingular perturbationboundary function methodapproximate solutiondiagonalization technique |
| spellingShingle | Hao Zhang Na Wang A class of singularly perturbed Robin boundary value problems in critical case Electronic Journal of Qualitative Theory of Differential Equations critical case singular perturbation boundary function method approximate solution diagonalization technique |
| title | A class of singularly perturbed Robin boundary value problems in critical case |
| title_full | A class of singularly perturbed Robin boundary value problems in critical case |
| title_fullStr | A class of singularly perturbed Robin boundary value problems in critical case |
| title_full_unstemmed | A class of singularly perturbed Robin boundary value problems in critical case |
| title_short | A class of singularly perturbed Robin boundary value problems in critical case |
| title_sort | class of singularly perturbed robin boundary value problems in critical case |
| topic | critical case singular perturbation boundary function method approximate solution diagonalization technique |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10132 |
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