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Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols


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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

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