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On the Generalized Cauchy Problem for One Class of Differential Equations of Infinite Order

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Ukrainian Mathematical Journal Aims and scope

We establish the solvability of a nonlocal multipoint (in time) problem regarded as a generalization of the Cauchy problem for the evolution equation with pseudodifferential operator (differentiation operator of infinite order) with initial conditions from the space of generalized functions of the ultradistribution type.

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Authors and Affiliations

  1. Yu. Fed’kovych Chernivtsi National University, Chernivtsi, Ukraine

    V. V. Horodets’kyi, O. V. Martynyuk & R. I. Petryshyn

Authors
  1. V. V. Horodets’kyi
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  2. O. V. Martynyuk
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  3. R. I. Petryshyn
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Correspondence to O. V. Martynyuk.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 7, pp. 886–902, July, 2020. Ukrainian DOI: 10.37863/umzh.v72i7.2321.

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Horodets’kyi, V.V., Martynyuk, O.V. & Petryshyn, R.I. On the Generalized Cauchy Problem for One Class of Differential Equations of Infinite Order. Ukr Math J 72, 1030–1050 (2020). https://doi.org/10.1007/s11253-020-01842-6

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  • DOI: https://doi.org/10.1007/s11253-020-01842-6

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