Well-posedness and spectral analysis of Volterra integro-differential equations with singular kernels

DOI10.1134/S1064562418060303zbMath1408.45003OpenAlexW2900108633MaRDI QIDQ1709872

V. V. Vlasov, N. A. Rautian

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562418060303

zbMATH Keywords

integro-differential equationswell-posednessspectrumsingular kernels

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Eigenvalue problems for integral equations (45C05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Representations of Solutions of Hyperbolic Volterra Integro-Differential Equations with Singular Kernels ⋮ Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels ⋮ Well-posed solvability and the representation of solutions of integro-differential equations arising in viscoelasticity

Cites Work

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• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics 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

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