We find approximate solutions of the Cauchy problem for a differential-operator equation of hyperbolic type with degeneration in a Hilbert space. In terms of these approximations, we give a characteristic of the Gevrey classes for a nonnegative self-adjoint operator.
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Translated from Neliniini Kolyvannya, Vol. 22, No. 3, pp. 341–349, July–September, 2019.
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Horodets’kyi, V.V., Martynyuk, O.V. Approximate Solutions of One Abstract Cauchy Problem. J Math Sci 253, 230–241 (2021). https://doi.org/10.1007/s10958-021-05224-6