Nonlocal time-multipoint problem for a certain class of evolutionary pseudodifferential equations with variable symbols: II


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Abstract

The properties of the fundamental solution to a nonlocal time-multipoint problem for an evolutionary equation with a pseudodifferential operator constructed by a variable symbol are studied. The solvability of the above problem in the class of continuous bounded on R functions is established and a representation of the solution is derived.

About the authors

V. V. Gorodetskii

Yuriy Fedkovych Chernivtsi National University

Author for correspondence.
Email: v.gorodetskiy@chnu.edu.ua
Ukraine, Chernivtsi, 58012

O. V. Martynyuk

Yuriy Fedkovych Chernivtsi National University

Email: v.gorodetskiy@chnu.edu.ua
Ukraine, Chernivtsi, 58012

O. V. Fedukh

Yuriy Fedkovych Chernivtsi National University

Email: v.gorodetskiy@chnu.edu.ua
Ukraine, Chernivtsi, 58012

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