On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel

The Cauchy problem on the real axis for the Gurtin–Pipkin equation with the Rabotnov kernel is considered. For some special case, it is proved that there is no propagation front in this problem. DOI 10.1134/S1061920824040137

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Publication Details

Journal
Russian Journal of Mathematical Physics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1061920824040137
Citations
1
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.33
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article

On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel

А. С. Шамаев, I. V. Romanov
1 citations
Russian Journal of Mathematical Physics
Stability and Controllability of Differential Equations
0.33
article

On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel

А. С. Шамаев, I. V. Romanov
article en
1 citations

Abstract

The Cauchy problem on the real axis for the Gurtin–Pipkin equation with the Rabotnov kernel is considered. For some special case, it is proved that there is no propagation front in this problem. DOI 10.1134/S1061920824040137

Russian Journal of Mathematical PhysicsVol. 31(4)
National Research University Higher School of Economics (RU), Institute for Problems in Mechanics (RU)
Reduced inequalities
Openalex Percentile: Top 37%
Stability and Controllability of Differential Equations
0.33
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