2. Articole
Permanent URI for this collectionhttps://msuir.usm.md/handle/123456789/17
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Item LINEAR SINGULAR PERTURBATIONS OF HYPERBOLIC-PARABOLIC TYPE(Academia de Ştiinţe a Moldovei, 2003) Perjan, AndreiWe 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.Item SINGULAR PERTURBATIONS OFHYPERBOLIC-PARABOLIC TYPE(Institutul de Matematică şi Informatică al AŞM, 2003) Perjan, AndreiWe 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.Item SINGULARLY PERTURBED CAUCHY PROBLEM FOR ABSTRACTLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDERIN HILBERT SPACES(Institutul de Matematică şi Informatică al AŞM, 2008) Perjan, Andrei; Rusu, GalinaWe 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.Item SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEMFOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONSIN HILBERT SPACES(Institutul de Matematică şi Informatică al AŞM, 2009) Rusu, GalinaWe 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 spaceHasε→0, whereA1andA0are two linear selfadjoint operators.Item SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEM FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACES(2009) Rusu, GalinaWe 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 asε→0, whereA1andA0are two linear selfadjoint operators.