Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels

DOI10.1090/mosc/298zbMath1447.45011OpenAlexW3014546073WikidataQ115546277 ScholiaQ115546277MaRDI QIDQ4960302

V. V. Vlasov, N. A. Rautian

Publication date: 14 April 2020

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/298

zbMATH Keywords

integro-differential equationspectral analysisoperator function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (7)

On the asymptotics of the nonreal spectrum of the integro-differential Gurtin-Pipkin equation with relaxation kernels representable in the form of the Stielties integral ⋮ Spectral analysis of integro-differential equations arising in thermal physics ⋮ On the properties of a semigroup of operators generated by a Volterra integro-differential equation arising in the theory of viscoelasticity ⋮ On the spectrum localization of an operator-function arising at studying oscillations of a viscoelastic pipeline with Kelvin-Voigt friction ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ On the lack of controllability in naive mechanics models: three exceptional cases ⋮ Asymptotics of the spectrum of an integro-differential equation arising in the study of the flutter of a viscoelastic plate

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