On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals

DOI10.1134/S0012266121090111zbMath1479.45003OpenAlexW3210409176WikidataQ114075348 ScholiaQ114075348MaRDI QIDQ2244109

N. A. Rautian

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s0012266121090111

zbMATH Keywords

Cauchy problemintegral operator kernelstheory of viscoelasticity

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (7)

Spectral analysis of integro-differential equations arising in thermal physics ⋮ Application of semigroup theory to the study of Volterra integro-differential equations ⋮ 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 ⋮ Well-posed solvability of Volterra integro-differential equations in Hilbert spaces ⋮ Spectral analysis of the generators for semigroups associated with Volterra integro-differential equations ⋮ Spectral properties of the generator of a semigroup generated by the Volterra integro-differential equation

Cites Work

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• Stability and exponential stability in linear viscoelasticity
• Non-homogeneous media and vibration theory
• An integrodifferential equation for rigid heat conductors with memory
• 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
• Spectral analysis of integrodifferential equations in Hilbert spaces
• A general theory of heat conduction with finite wave speeds
• Asymptotic stability in viscoelasticity
• Thermodynamics of Materials with Memory
• Spectra of the Gurtin–Pipkin Type Equations
• One-Parameter Semigroups for Linear Evolution Equations

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