Nonlocal time-multipoint problem for a certain class of evolutionary pseudodifferential equations with variable symbols: II
- Authors: Gorodetskii V.V.1, Martynyuk O.V.1, Fedukh O.V.1
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Affiliations:
- Yuriy Fedkovych Chernivtsi National University
- Issue: Vol 53, No 2 (2017)
- Pages: 200-211
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154276
- DOI: https://doi.org/10.1134/S0012266117020069
- ID: 154276
Cite item
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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