On the structure and properties of solutions of integro-differential equations arising in thermal physics and acoustics

DOI10.1134/S000143461109015XzbMath1283.45007OpenAlexW1964960086MaRDI QIDQ2435793

N. A. Rautian

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461109015x

zbMATH Keywords

Laplace transformHilbert spaceself-adjoint operatorintegro-differential equationunbounded operator coefficientexponential seriesSobolev space \(W^1_1(\mathbb R_+)\)

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Abstract integral equations, integral equations in abstract spaces (45N05) Linear integral equations (45A05)

Related Items (8)

Representation of solutions of integro-differential equations with kernels depending on the parameter ⋮ Exact control of a distributed system described by the wave equation with integral memory ⋮ Noncontrollability to rest of the two-dimensional distributed system governed by the integrodifferential equation ⋮ Spectral analysis and representations of solutions to abstract integrodifferential equations ⋮ Exact controllability of the distributed system, governed by string equation with memory ⋮ On the problem of precise control of the system obeying the delay string equation ⋮ Some problems of distributed and boundary control for systems with integral aftereffect ⋮ Properties of solutions of integro-differential equations arising in heat and mass transfer theory

Cites Work

• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• A general theory of heat conduction with finite wave speeds
• Unnamed Item

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