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A Multipoint (In Time) Problem for One Class of Pseudodifferential Evolutionary Equations

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Ukrainian Mathematical Journal Aims and scope

We establish the correct solvability of a multipoint (in time) problem for the evolution equation with operator of differentiation of infinite order in generalized S -type spaces. The properties of the fundamental solution of this problem and the behavior of the solution u(t, x) as t → +∞ are investigated.

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Authors and Affiliations

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

    V. V. Gorodetskii, R. I. Petrishin & A. P. Verezhak

Authors
  1. V. V. Gorodetskii
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  2. R. I. Petrishin
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  3. A. P. Verezhak
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 3, pp. 337–355, March, 2018.

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Gorodetskii, V.V., Petrishin, R.I. & Verezhak, A.P. A Multipoint (In Time) Problem for One Class of Pseudodifferential Evolutionary Equations. Ukr Math J 70, 385–409 (2018). https://doi.org/10.1007/s11253-018-1506-z

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  • DOI: https://doi.org/10.1007/s11253-018-1506-z

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