Study of functional-differential equations with unbounded operator coefficients

DOI10.1134/S1064562417060291zbMath1405.35242OpenAlexW2781929848MaRDI QIDQ1707161

V. V. Vlasov, N. A. Rautian

Publication date: 28 March 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417060291

zbMATH Keywords

integro-differential equationsspectral analysisfunctional differential equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial functional-differential equations (35R10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (5)

Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder ⋮ Mixed problems for strongly elliptic differential-difference equations in a cylinder ⋮ Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain ⋮ Smoothness of generalized solutions of the second and third boundary-value problems for strongly elliptic differential-difference equations ⋮ Smoothness of generalized solutions of the Neumann problem for a strongly elliptic differential-difference equation on the boundary of adjacent subdomains

Cites Work

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• Stability for abstract linear functional differential equations
• Semigroup and integral form of a class of partial differential equations with infinite delay
• Theory and applications of partial functional differential equations
• Parabolic Volterra integrodifferential equations of convolution type
• Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations
• Correct solvability of Volterra integrodifferential equations in Hilbert space
• Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type

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