一类带Rabotnov核的积分-微分方程Cauchy问题中传播前沿的不存在性

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-02-09 DOI:10.1134/S1061920824040137

I.V. Romanov, A.S. Shamaev

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引用次数: 0

摘要

研究了具有Rabotnov核的Gurtin-Pipkin方程实轴上的Cauchy问题。对于一些特殊情况，证明了该问题不存在传播前沿。DOI 10.1134 / S1061920824040137

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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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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.