Geodesic
Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 81-95.

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We study the behavior of solutions to the problem $$ \begin{cases} \varepsilon\Big(u''_\varepsilon(t)+A_1u_\varepsilon(t)\Big)+u'_\varepsilon(t)+ A_0u_\varepsilon(t)=f(t),\quad t>0,\\ u_\varepsilon(0)=u_0,\qquad u'_\varepsilon(0)=u_1, \end{cases} $$ in the Hilbert space H as ε→0, where A1 and A0 are two linear selfadjoint operators. 
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Galina Rusu. Singular limits of solutions to the Cauchy problem for second order linear differential equations in Hilbert spaces. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 81-95. https://geodesic-test.mathdoc.fr/item/BASM_2009_3_a8/

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