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Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols

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We prove that the Cauchy problem for a pseudodifferential equation with pseudo-Bessel operator with variable symbol is solvable in the class of bounded and even functions on ℝ:

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References

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University Ukraine, 58012, Chernivtsi, M. Kotsyubyns’kyi Str., 2, 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 V. V. Horodets’kyi.

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Translated from Neliniini Kolyvannya, Vol. 17, No. 3, pp. 314–331, July–September, 2014.

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Horodets’kyi, V.V., Martynyuk, O.V. & Petryshyn, R.I. Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols. J Math Sci 212, 234–253 (2016). https://doi.org/10.1007/s10958-015-2661-5

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  • DOI: https://doi.org/10.1007/s10958-015-2661-5

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