Zhang, Hao and Wang, Na (2023) A class of singularly perturbed Robin boundary value problems in critical case. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (34). pp. 1-18. ISSN 1417-3875
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Official URL: https://doi.org/10.14232/ejqtde.2023.1.34
Abstract
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | critical case, singular perturbation, boundary function method, approximate solution, diagonalization technique |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 02 Apr 2024 11:00 |
| URI: | https://real.mtak.hu/id/eprint/185148 |
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