Spectral analysis of the generators for semigroups associated with Volterra integro-differential equations

DOI10.1134/S1995080223030265OpenAlexW4382054053MaRDI QIDQ6114603

V. V. Vlasov, N. A. Rautian

Publication date: 12 July 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223030265

zbMATH Keywords

semigroupintegro-differential equationoperator function

Mathematics Subject Classification ID

Incompressible viscous fluids (76Dxx) General theory of linear operators (47Axx) Abstract integral equations, integral equations in abstract spaces (45Nxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• Semigroups generated by Volterra integro-differential equations
• On Volterra integro-differential equations with kernels representable by Stieltjes integrals
• Exponential stability of semigroups generated by Volterra integro-differential equations with singular kernels
• On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• A general theory of heat conduction with finite wave speeds
• Asymptotic stability in viscoelasticity
• Studying Volterra integro-differential equations by methods of the theory of operator semigroups
• Well-posed solvability of Volterra integro-differential equations in Hilbert spaces
• Thermodynamics of Materials with Memory
• ASYMPTOTICS OF THE DISTRIBUTION OF THE CHARACTERISTIC NUMBERS OF OPERATOR-VALUED FUNCTIONS ANALYTIC IN AN ANGLE
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

This page was built for publication: Spectral analysis of the generators for semigroups associated with Volterra integro-differential equations