STRONGLY DAMPED PENCILS OF OPERATORS AND SOLVABILITY OF THE CORRESPONDING OPERATOR-DIFFERENTIAL EQUATIONS

DOI10.1070/SM1989v063n01ABEH003262zbMath0668.47010OpenAlexW2077524087MaRDI QIDQ3821155

A. A. Shkalikov

Publication date: 1989

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1989v063n01abeh003262

zbMATH Keywords

evolution equationsunbounded operatorsspectral zonesself-adjoint operator pencilsoverdamped case

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (11)

Studying Volterra integro-differential equations by methods of the theory of operator semigroups ⋮ Spectral analysis of hyperbolic Volterra integro-differential equations ⋮ Well-posedness and spectral analysis of integrodifferential equations of hereditary mechanics ⋮ Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory ⋮ Study of Volterra integro-differential equations arising in viscoelasticity theory ⋮ Well-posedness of a boundary value problem for a class of third-order operator-differential equations ⋮ On solution of the Kostyuchenko problem ⋮ On Volterra integro-differential equations with kernels representable by Stieltjes integrals ⋮ Strong dissipative hydrodynamical systems and the operator pencil of S. Krein ⋮ Andrei Andreevich Shkalikov (on his seventieth birthday) ⋮ A factorization of a quadratic pencils of accretive operators and applications

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