Integrodifferential equations in viscoelasticity theory

DOI10.3103/S1066369X12060060zbMath1365.45007MaRDI QIDQ1759290

V. V. Vlasov, N. A. Rautian

Publication date: 20 November 2012

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

zbMATH Keywords

integrodifferential equationsoperator functionscorrect solvability

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) Linear constitutive equations for materials with memory (74D05)

Related Items (3)

Multiperiodic solution of the initial-boundary value problem for an integro-differential equation of the parabolic type ⋮ On small motions of hydrodynamic systems containing a viscoelastic fluid ⋮ Multiperiodic bounded oscillations in quasilinear finite-hereditary integro-differential systems convection-diffusion type

Cites Work

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• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
• Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics
• Spectral analysis and solvability of abstract hyperbolic equations with aftereffect
• Heat equation with memory: Lack of controllability to rest
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• Evolutionary Integral Equations and Applications

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