Exponential stability of semigroups generated by Volterra integro-differential equations with singular kernels

DOI10.1134/S0012266121100141zbMath1481.45008OpenAlexW4200066098WikidataQ115249148 ScholiaQ115249148MaRDI QIDQ2064234

N. A. Rautian, V. V. Vlasov

Publication date: 5 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0012266121100141

zbMATH Keywords

Cauchy problemintegral operatorVolterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integral operators (45P05) Volterra integral equations (45D05)

Related Items (4)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Semigroups generated by Volterra integro-differential equations
• 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
• Thermodynamics of Materials with Memory
• Spectra of the Gurtin–Pipkin Type Equations
• One-Parameter Semigroups for Linear Evolution Equations

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