Spectral analysis of integro-differential equations in viscoelasticity theory

DOI10.1007/s10958-014-1666-9zbMath1305.45004OpenAlexW2035375276MaRDI QIDQ467579

V. V. Shumilova

Publication date: 3 November 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1666-9

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Spectrum of an integro-differential equation of fractional order ⋮ Spectrum of one-dimensional eigenoscillations of a medium consisting of viscoelastic material with memory and incompressible viscous fluid ⋮ Asymptotic behavior of the spectrum of one-dimensional vibrations in a layered medium consisting of elastic and Kelvin-Voigt viscoelastic materials

Cites Work

• Well-defined solvability and spectral properties of abstract hyperbolic equations with aftereffect
• Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics
• On some problems in acoustics of emulsions
• Spectral analysis and solvability of abstract hyperbolic equations with aftereffect
• On the spectrum of an integro-differential equation arising in viscoelasticity theory
• Spectrum of one-dimensional oscillations in the combined stratified medium consisting of a viscoelasticmaterial and a viscous compressible fluid
• Spectra of the Gurtin–Pipkin Type Equations

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