Perjan, AndreiRusu, Galina2021-10-182021-10-182008PERJAN, Andrei, RUSU, Galina. Singularly perturbed Cauchy problem for abstract linear differential equations of second order in Hilbert spaces. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2008, nr. 1(56), pp. 195-204. ISSN 1024-7696.1024-7696https://msuir.usm.md/handle/123456789/4919We 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.essingular perturbationscauchy problemboundary functionArticle