2. Articole

Permanent URI for this collectionhttps://msuir.usm.md/handle/123456789/17

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    LINEAR SINGULAR PERTURBATIONS OF HYPERBOLIC-PARABOLIC TYPE
    (Academia de Ştiinţe a Moldovei, 2003) Perjan, Andrei
    We study the behavior of solutions of the problem εu′′(t)+u′(t)+Au(t) =f (t), u(0) = u0, u′(0) = u1 in the Hilbert space H as ε → 0, where A is a linear,symmetric, strong positive operator.
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    SINGULAR PERTURBATIONS OFHYPERBOLIC-PARABOLIC TYPE
    (Institutul de Matematică şi Informatică al AŞM, 2003) Perjan, Andrei
    We study the behavior of solutions of the problemεu′′(t)+u′(t)+Au(t) =f(t), u(0) =u0, u′(0) =u1in the Hilbert spaceHasε→0, whereAis a linear,symmetric, strong positive operator.
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    SINGULARLY PERTURBED CAUCHY PROBLEM FOR ABSTRACTLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDERIN HILBERT SPACES
    (Institutul de Matematică şi Informatică al AŞM, 2008) Perjan, Andrei; Rusu, Galina
    We study the behavior of solutions to the problem(ε“u′′ε(t) +A1uε(t)”+u′ε(t) +A0uε(t) =f(t), t >0,uε(0) =u0, u′ε(0) =u1,in the Hilbert space H asε7→0, whereA1andA0are two linear selfadjoint operators.