Approximate Solutions of One Abstract Cauchy Problem

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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Correspondence to V. V. Horodets’kyi.

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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).

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