Perjan, Andrei(Academia de Ştiinţe a Moldovei, 2003)
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.
Perjan, Andrei(Institutul de Matematică şi Informatică al AŞM, 2003)
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.