Rusu, Galina2021-10-132021-10-132009RUSU, Galina. Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2009, nr. 3(61), pp. 81-95. ISSN 1024-7696.1024-7696https://msuir.usm.md/handle/123456789/4916We 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.ensingular perturbationscauchy problemboundary functionArticle