Well-posed solvability and the representation of solutions of integro-differential equations arising in viscoelasticity

DOI10.1134/S0012266119040141zbMath1427.45005OpenAlexW2945546218WikidataQ127847940 ScholiaQ127847940MaRDI QIDQ2313385

V. V. Vlasov, N. A. Rautian

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119040141

zbMATH Keywords

spectral analysisoperator functionsabstract integro-differential equations with unbounded operator coefficients

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (8)

Exponential stability of semigroups generated by Volterra integro-differential equations ⋮ Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures ⋮ On the properties of semigroups generated by Volterra integro-differential equations ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Semigroups generated by Volterra integro-differential equations ⋮ On Volterra integro-differential equations with kernels representable by Stieltjes integrals ⋮ Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels ⋮ Exponential stability of semigroups generated by Volterra integro-differential equations with singular kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral properties of combined media
• Well-posed solvability of Volterra integro-differential equations in Hilbert space
• Well-posedness and spectral analysis of Volterra integro-differential equations with singular kernels
• Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory
• Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• A general theory of heat conduction with finite wave speeds
• 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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