Conjugate Cauchy Problem for Parabolic Shilov Type Systems with Nonnegative Genus


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Abstract

The problem of solvability of the Gelfand–Shilov conjugate Cauchy problem for parabolic Shilov type systems with variable coefficients of bounded smoothness and nonnegative genus in the spaces Sβ is studied by constructing the fundamental solution of this problem and analyzing its basic properties.

About the authors

V. A. Litovchenko

Fedkovych Chernivtsi National University

Author for correspondence.
Email: vladlit4@mail.ru
Ukraine, Chernivtsi, 58012

G. M. Unguryan

Fedkovych Chernivtsi National University

Email: vladlit4@mail.ru
Ukraine, Chernivtsi, 58012

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