Well-posed solvability of Volterra integro-differential equations in Hilbert space

DOI10.1134/S0012266116090032zbMath1365.45009MaRDI QIDQ507702

N. A. Rautian, V. V. Vlasov

Publication date: 7 February 2017

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

zbMATH Keywords

Hilbert spaceweighted Sobolev spacesinitial value problemviscoelasticityVolterra integro-differential equationabstract integro-differential equationunbounded operator coefficientwell-posed solvability

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Investigation of operator models arising in viscoelasticity theory ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ 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 ⋮ Spectral analysis of integrodifferential equations in Hilbert spaces

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