Abstract
Resolvent convergence is considered for nonnegative self-adjoint operators acting in a variable Hilbert space He, with the limit of the resolvents being a pseudoresolvent. This convergence is used for passing to the limit in the corresponding hyperbolic operator equations in He viewed from the standpoint of semigroups. The scheme studied here can be applied to homogenization of nonstationary problems of elasticity for thin structures.
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