Application of semigroup theory to the study of Volterra integro-differential equations

DOI10.1134/S0012266122040127zbMath1500.45008OpenAlexW4289714756WikidataQ115248790 ScholiaQ115248790MaRDI QIDQ2164414

V. V. Vlasov, N. A. Rautian

Publication date: 15 August 2022

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

Full work available at URL: https://doi.org/10.1134/s0012266122040127

zbMATH Keywords

viscoelasticityabstract Volterra integro-differential equationsGurtin-Pipkin integro-differential equations

Mathematics Subject Classification ID

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

Cites Work

• On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals
• A general theory of heat conduction with finite wave speeds
• On the properties of the generators of semigroups associated with Volterra integro-differential equations
• Studying Volterra integro-differential equations by methods of the theory of operator semigroups
• Thermodynamics of Materials with Memory
• One-Parameter Semigroups for Linear Evolution Equations
• Unnamed Item

This page was built for publication: Application of semigroup theory to the study of Volterra integro-differential equations