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Ultima descărcare din IBN: 2023-07-07 12:39 |
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517.958+519.6 (1) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
Matematică computațională. Analiză numerică. Programarea calculatoarelor (124) |
![]() PERJAN, Andrei, RUSU, Galina. Limits of solutions to the semilinear plate equation with small parameter. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, nr. 2(99), pp. 76-102. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i2.p76 |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(99) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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DOI:https://doi.org/10.56415/basm.y2022.i2.p76 | ||||||
CZU: 517.958+519.6 | ||||||
MSC 2010: 35B25, 35K15, 35L15, 34G10. | ||||||
Pag. 76-102 | ||||||
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Rezumat | ||||||
We study the existence of the limits of solutions to the semilinear plate equation with boundary Dirichlet condition with a small parameter coefficient of the second order derivative in time. We establish the convergence of solutions to the perturbed problem and their derivatives in spacial variables to the corresponding solutions to the unperturbed problem as the small parameter tends to zero. |
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Cuvinte-cheie A priory estimate, Boundary layer, semilinear plate equation, singular perturbation |
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