scientific article; zbMATH DE number 1565847

DOI<link itemprop=identifier href="https://doi.org/10.1002/1099-1476(200012)23:18<1585::AID-MMA175>3.0.CO;2-E" /><1585::AID-MMA175>3.0.CO;2-E 10.1002/1099-1476(200012)23:18<1585::AID-MMA175>3.0.CO;2-EzbMath0972.47039MaRDI QIDQ4763141

Marianna A. Shubov

Publication date: 13 November 2001

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zbMATH Keywords

Laplace transformcompletenessdiscrete spectrumflutternonselfadjoint polynomial pencilgeneralized eigenvectorsinitial-boundary-value problemgeneralized resolvent operatorasymptotic and spectral analysisnonselfadjoint differential operatoraircraft wingsubsonic air flowfinite-meromorphic functioncoupled linear hyperbolic systemdynamics generator of the differential partsNagy-Foias functional model for nonselfadjoint operatorsRiesz basis in the energy spacesingle operator evolution-convolution equation in the energy spacesystem of two coupled integro-differential equationstwo-parameter family of boundary conditions

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Functional-differential equations in abstract spaces (34K30) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of functional-differential equations (34K05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Integro-differential operators (47G20)

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Exponential stability of string system with variable coefficients under non-collocated feedback controls ⋮ Remarks on the application of the Keldysh theorem on the completeness of root subspace of non-self-adjoint operators and comments on ``Spectral operators generated by Timoshenko beam model ⋮ Dynamical behavior of a hybrid system of nonhomogeneous Timoshenko beam with partial non-collocated inputs ⋮ Decay of solutions in nonhomogeneous thermoelastic diffusion bars ⋮ Numerical investigation of aeroelastic mode distribution for aircraft wing model in subsonic air flow ⋮ Exponential stability of uniform Euler-Bernoulli beams with non-collocated boundary controllers ⋮ Asymptotics of aeroelastic modes and basis property of mode shapes for aircraft wing model. ⋮ Bending-torsion vibration model with two-end energy dissipation

Cites Work

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• The rate at which energy decays in a damped String
• Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string
• Modal Analysis Of Stepped Beams With Piezoelectric Materials
• The rate at which energy decays in a string damped at one end
• EIGENVECTOR BASES OF COMPLETELY NONUNITARY CONTRACTIONS AND THE CHARACTERISTIC FUNCTION
• Spectral operators generated by Timoshenko beam model

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