On the properties of semigroups generated by Volterra integro-differential equations

DOI10.1134/S001226612008011XzbMath1464.45025OpenAlexW3083471654MaRDI QIDQ2195151

V. V. Vlasov, N. A. Rautian

Publication date: 7 September 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226612008011x

zbMATH Keywords

viscoelasticityabstract integro-differential equations

Mathematics Subject Classification ID

Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

On the asymptotics of the nonreal spectrum of the integro-differential Gurtin-Pipkin equation with relaxation kernels representable in the form of the Stielties integral ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ On Volterra integro-differential equations with kernels representable by Stieltjes integrals ⋮ Asymptotics of the spectrum of an integro-differential equation arising in the study of the flutter of a viscoelastic plate

Cites Work

• Unnamed Item
• Second-gradient viscoelastic fluids: dissipation principle and free energies
• Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory
• A study of operator models arising in problems of hereditary mechanics
• Well-posed solvability and the representation of solutions of integro-differential equations arising in viscoelasticity
• A general theory of heat conduction with finite wave speeds
• Spectra of the Gurtin–Pipkin Type Equations
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: On the properties of semigroups generated by Volterra integro-differential equations