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Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols

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Ukrainian Mathematical Journal Aims and scope

We study the properties of the fundamental solution of a nonlocal problem multipoint in time for the evolutionary equations with pseudo-Bessel operators constructed on variable symbols. The solvability of this problem is proved in the class of bounded continuous functions even on ℝ. The integral representation of solutions is established.

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Authors and Affiliations

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

    V. V. Horodets’kyi & O. V. Martynyuk

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  1. V. V. Horodets’kyi
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  2. O. V. Martynyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 2, pp. 159–175, February, 2014.

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Horodets’kyi, V.V., Martynyuk, O.V. Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols. Ukr Math J 66, 178–196 (2014). https://doi.org/10.1007/s11253-014-0921-z

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  • DOI: https://doi.org/10.1007/s11253-014-0921-z

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