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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (61), 2009/

Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces.

Authors: Galina Rusu

Abstract

We study the behavior of solutions to the problem
ε(uε"(t)+A1uε(t))+uε'(t)+A0uε(t)=f(t), t>0,
uε(0)=u0, uε'(0)=u1
in the Hilbert space H as ε→0, where A1 and A2 are two linear selfadjoint operators.

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