Spectral analysis and solvability of Volterra integro-differential equations

DOI10.1134/S1064562421010178zbMath1476.80006OpenAlexW3175797842WikidataQ115247442 ScholiaQ115247442MaRDI QIDQ2243837

V. V. Vlasov, N. A. Rautian

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421010178

zbMATH Keywords

integro-differential equationsVolterra operatoroperator functionspectra

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Estimates of eigenvalues in context of PDEs (35P15) Viscoelastic fluids (76A10) Volterra integral equations (45D05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Integro-partial differential equations (35R09) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

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• Study of Volterra integro-differential equations arising in viscoelasticity theory
• Spectral analysis of hyperbolic Volterra integro-differential equations
• Non-homogeneous media and vibration theory
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• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
• Thermodynamics of Materials with Memory
• Spectra of the Gurtin–Pipkin Type Equations
• ASYMPTOTICS OF THE DISTRIBUTION OF THE CHARACTERISTIC NUMBERS OF OPERATOR-VALUED FUNCTIONS ANALYTIC IN AN ANGLE

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