Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols
- Authors: Horodets’kyi V.V.1, Martynyuk O.V.1, Petryshyn R.I.1
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Affiliations:
- Fed’kovych Chernivtsi National University Ukraine
- Issue: Vol 212, No 3 (2016)
- Pages: 234-253
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237000
- DOI: https://doi.org/10.1007/s10958-015-2661-5
- ID: 237000
Cite item
Abstract
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:
About the authors
V. V. Horodets’kyi
Fed’kovych Chernivtsi National University Ukraine
Author for correspondence.
Email: alfaolga1@gmail.com
Ukraine, M. Kotsyubyns’kyi Str., 2, Chernivtsi, 58012
O. V. Martynyuk
Fed’kovych Chernivtsi National University Ukraine
Email: alfaolga1@gmail.com
Ukraine, M. Kotsyubyns’kyi Str., 2, Chernivtsi, 58012
R. I. Petryshyn
Fed’kovych Chernivtsi National University Ukraine
Email: alfaolga1@gmail.com
Ukraine, M. Kotsyubyns’kyi Str., 2, Chernivtsi, 58012