Branko Najman, Department of Mathematics, University of Zagreb, 41000 Zagreb, Bijenicka 30, Croatia
Abstract: We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter $\varepsilon.$ The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.
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