SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEM FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACES

Rusu, Galina2017-05-252017-05-252009RUSU, G. Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces. In: Buletinul Academiei de Ştiinţe a Republicii Moldova : Matematica. 2009, nr. 3(61), pp. 81-95. ISSN 1024-76-961024-7696https://msuir.usm.md/handle/123456789/1162We 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.enSingular perturbationsCauchy problemboundary functionSINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEM FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACESArticle