On One Evolution Equation of Parabolic Type with Fractional Differentiation Operator in S Spaces

In the paper, we investigate a nonlocal multipoint by a time problem for the evolution equation with the operator A=I−Δω/2, Δ=d2/dx2, and ω∈1;−2 is a fixed parameter. The operator A is treated as a pseudodifferential operator in a certain space of type S. The solvability of this problem is proved. T...

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Bibliographic Details
Main Authors: V. V. Gorodetskiy, R. S. Kolisnyk, N. M. Shevchuk
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/1673741