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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
Electronic journal of qualitative theory of differential equations |
| Kulcsszavak: | Robin-határérték-probléma |
| doi: | 10.14232/ejqtde.2023.1.34 |
| Online Access: | http://acta.bibl.u-szeged.hu/82284 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 18 |
| ISSN: | 1417-3875 |