Spectral Analysis of Integro-Differential Equations Arising in Thermal Physics

The Gurtin–Pipkin integro-differential equation is considered under the assumption that its kernels are series of exponentials. For the operator function which is its symbol, the asymptotics of the nonreal part of the spectrum is found.

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Bibliographic Details
Published in:Differential equations 2022-02, Vol.58 (2), p.280-284
Main Author: Pankratova, E. V.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Differential equations
Differential thermal analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Short Communications
Spectrum analysis
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Description
Summary:The Gurtin–Pipkin integro-differential equation is considered under the assumption that its kernels are series of exponentials. For the operator function which is its symbol, the asymptotics of the nonreal part of the spectrum is found.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122020136