Correct solvability and representation of solutions of Volterra integrodifferential equations with fractional exponential kernels

DOI10.1134/S1064562419050211zbMath1446.45011OpenAlexW2989530912WikidataQ115525909 ScholiaQ115525909MaRDI QIDQ2304362

V. V. Vlasov, N. A. Rautian

Publication date: 11 March 2020

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419050211

zbMATH Keywords

unbounded operator coefficientsVolterra integrodifferential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Volterra integral equations (45D05)

Related Items (4)

Study of Volterra integro-differential equations by methods of semigroup theory ⋮ Well-posedness and spectral analysis of integrodifferential equations of hereditary mechanics ⋮ Representations of Solutions of Hyperbolic Volterra Integro-Differential Equations with Singular Kernels ⋮ Correct solvability and exponential stability for solutions of Volterra integro-differential equations

Cites Work

• Unnamed Item
• Solvability and spectral analysis of integro-differential equations arising in the theory of heat transfer and acoustics
• Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory
• Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
• A general theory of heat conduction with finite wave speeds
• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type
• Spectra of the Gurtin–Pipkin Type Equations
• On an extension of the method of two-scale convergence and its applications
• Properties of solutions of integro-differential equations arising in heat and mass transfer theory

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