On properties of the spectrum of an operator pencil arising in viscoelasticity theory

DOI10.1134/S0001434618050176zbMath1491.35297OpenAlexW2811364842WikidataQ129617114 ScholiaQ129617114MaRDI QIDQ1668082

Yu. A. Tikhonov, Aleksandr Vadimovich Davydov

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050176

zbMATH Keywords

integro-differential equationoperator functionspectrum localization

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)

Related Items (1)

On small motions of hydrodynamic systems containing a viscoelastic fluid

Cites Work

• A general theory of heat conduction with finite wave speeds
• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
• Spectra of the Gurtin–Pipkin Type Equations

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