Weakly dissipative linear dynamical systems and a quadratic Keldysh pencil

DOI10.1134/S0001434624070162MaRDI QIDQ6636282

Victor Ivanovich Voytitsky

Publication date: 12 November 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

basis propertyenergy dissipationasymptotics of eigenvaluesdiscrete spectrumoperator pencildifferential operator equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General theory of linear operators (47Axx) Ordinary differential operators (34Lxx)

Cites Work

• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Elliptic equations in Hilbert space and associated spectral problems
• Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation
• Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
• Summability of series in root vectors of non-self-adjoint elliptic operators
• Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators
• Strong dissipative hydrodynamical systems and the operator pencil of S. Krein
• On oscillations of two connected pendulums containing cavities partially filled by incompressible fluids
• On small oscillations of three joined pendulums with cavities filled with homogeneous ideal fluids
• On oscillations of connected pendulums with cavities filled by homogeneous fluids
• Perturbations of self-adjoint and normal operators with discrete spectrum
• On two hydromechanical problems inspired by works of S. Krein
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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