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Limits of solutions to the semilinear plate equation with small parameter
Andrei Perjan, Galina Rusu Moldova State University
Аннотация:
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.
Ключевые слова и фразы:
a priory estimate, boundary layer, semilinear plate equation, singular perturbation.
Поступила в редакцию: 13.08.2022
Образец цитирования:
Andrei Perjan, Galina Rusu, “Limits of solutions to the semilinear plate equation with small parameter”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 2, 76–102
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm574 https://www.mathnet.ru/rus/basm/y2022/i2/p76
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Страница аннотации: | 306 | PDF полного текста: | 28 | Список литературы: | 19 |
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