On approximate solutions of the Cauchy  problem for a differential operator equation of the hyperbolic type

Gorodetskii Vasyl; Kolisnyk Ruslana; Martynyuk Olga

doi:https://doi.org/10.31861/bmj2018.03.047

On approximate solutions of the Cauchy problem for a differential operator equation of the hyperbolic type

Gorodetskii Vasyl ¹ , Kolisnyk Ruslana ¹ , Martynyuk Olga ¹

¹ Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

DOI: https://doi.org/10.31861/bmj2018.03.047

Keywords: Cauchy problem, evolution equations of hyperbolic type, Gevrey classes, generalizedLaguerre polynomials

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Abstract

We found the approximate solutions of the Cauchy problem for a differential-operator equation of hyperbolic type with degeneration in Hilbert space. In terms of such approximations a characteristic of the Gevrey classes of a nonnegative self-adjoint operator is given.

References

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ACS Style: Gorodetskii, V.; Kolisnyk, R.; Martynyuk, O. On approximate solutions of the Cauchy problem for a differential operator equation of the hyperbolic type. Bukovinian Mathematical Journal. 2019, 6 https://doi.org/https://doi.org/10.31861/bmj2018.03.047
AMA Style: Gorodetskii V, Kolisnyk R, Martynyuk O. On approximate solutions of the Cauchy problem for a differential operator equation of the hyperbolic type. Bukovinian Mathematical Journal. 2019; 6(3-4). https://doi.org/https://doi.org/10.31861/bmj2018.03.047
Chicago/Turabian Style: Vasyl Gorodetskii, Ruslana Kolisnyk, Olga Martynyuk. 2019. "On approximate solutions of the Cauchy problem for a differential operator equation of the hyperbolic type". Bukovinian Mathematical Journal. 6 no. 3-4. https://doi.org/https://doi.org/10.31861/bmj2018.03.047

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