Asymptotics of the spectrum of an integro-differential equation arising in the study of the flutter of a viscoelastic plate

DOI10.1134/S1061920821020059zbMath1469.35160OpenAlexW3167521417WikidataQ115247681 ScholiaQ115247681MaRDI QIDQ2037775

Aleksandr Vadimovich Davydov

Publication date: 8 July 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821020059

zbMATH Keywords

Gurtin-Pipkin equationoperator analysis methodsplate in a liquid or gas flow

Mathematics Subject Classification ID

Plates (74K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09)

Related Items

On the asymptotics of the nonreal spectrum of the integro-differential Gurtin-Pipkin equation with relaxation kernels representable in the form of the Stielties integral ⋮ On the properties of a semigroup of operators generated by a Volterra integro-differential equation arising in the theory of viscoelasticity

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