Spectral analysis of integro-differential equations arising in thermal physics

DOI10.1134/S0012266122020136zbMath1487.45013OpenAlexW4225262975WikidataQ115248830 ScholiaQ115248830MaRDI QIDQ2135112

Yanyan Li

Publication date: 4 May 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122020136

zbMATH Keywords

asymptoticsGurtin-Pipkin integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Thermal effects in solid mechanics (74F05) Asymptotics of solutions to integral equations (45M05) Laplace transform (44A10) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05)

Cites Work

• Heat equation with memory: Lack of controllability to rest
• On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals
• Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
• Analysis of operator models arising in problems of hereditary mechanics
• A general theory of heat conduction with finite wave speeds
• Spectra of the Gurtin–Pipkin Type Equations
• Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels

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