Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
945 12 |
Ultima descărcare din IBN: 2023-03-13 12:24 |
SM ISO690:2012 PERJAN, Andrei. Limits of solutions to the semilinear wave equation with small parameter. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 1(50), pp. 65-84. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(50) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 65-84 | ||||||
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We study the existence of the limits of solution to singularly perturbed initial boundary value problem of hyperbolic - parabolic type with boundary Dirichlet condition for the semilinear wave equation. We prove the convergence of solutions and also the convergence of gradients of solutions to perturbed problem to the correspond- ing solutions to the unperturbed problem as the small parameter tends to zero. We show that the derivatives of solution relative to time-variable possess the boundary layer function of the exponential type in the neighborhood of t = 0. |
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Cuvinte-cheie Semiliniar wave equation, boundary layer function., singular perturbation |
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