The operator approach to Il'yushin's models of viscoelastic media under the isothermal processes of deformation

DOI10.1007/S10958-014-1687-4zbMath1301.35181OpenAlexW1973374163MaRDI QIDQ460565

Dmitriĭ A. Zakora

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1687-4

zbMATH Keywords

existenceuniquenessCauchy problemevolution problemviscoelastic body

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

Operator approach to the Ilyushin model for a viscoelastic body of parabolic type

Cites Work

• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
• Some considerations for linear integrodifferential equations
• Regular solutions for time dependent abstract integrodifferential equations with singular kernel
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Behavior of a two-component medium with pulsed loading

This page was built for publication: The operator approach to Il'yushin's models of viscoelastic media under the isothermal processes of deformation