Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space

DOI10.1007/978-3-0348-0648-0_33zbMath1322.34075OpenAlexW2179397173MaRDI QIDQ5261252

V. V. Vlasov, N. A. Rautian

Publication date: 2 July 2015

Published in: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0648-0_33

zbMATH Keywords

integro-differential equationsSobolev spacespectraoperator-functionGurtin-Pipkin heat equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) Spectral theory of functional-differential operators (34K08)

Related Items (5)

Representation of solutions of integro-differential equations with kernels depending on the parameter ⋮ Complete Volterra integrodifferential equations of the second order unsolved with respect to the higher derivative ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Study of Volterra integro-differential equations with kernels depending on a parameter ⋮ Properties of solutions of integro-differential equations arising in heat and mass transfer theory

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