Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEM FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN HILBERT SPACES
(2009) Rusu, Galina
We 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.