%0 Journal Article %T Singularly perturbed Cauchy problem for abstract linear differential equations of second order in Hilbert spaces %A Andrei Perjan %A Galina Rusu %J Mathematics and its Applications : Annals of the Academy of Romanian Scientists %D 2009 %I Academy of Romanian Scientists Publishing House %X We study the behavior of solutions to perturbed second order abstract evolution equations in Hilbert spaces, when the small parameter, multiplying the second order time derivative, converges to zero. %K singular perturbations %K Cauchy problem %K boundary layer function %U http://www.mathematics-and-its-applications.com/preview/june/data/2_Revperjan.pdf