On the spectra of some classes of quadratic operator pencils

作者: V. Adamyan , V. Pivovarchik

DOI: 10.1007/978-3-0348-8812-7_2

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摘要: This paper is devoted to the description of spectra some unbounded quadratic operator pencils in Hilbert spaces arising theory damped oscillations continua.

参考文章(8)
Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek, Linear Operator Pencils Birkhäuser Basel. pp. 49- 58 ,(1990) , 10.1007/978-3-0348-7509-7_5
Israel Gohberg, Seymour Goldberg, Marius A. Kaashoek, Classes of Linear Operators ,(1990)
M. L. Chumak, Multiplicity of the spectrum of representations connected with integrable G-invariant Hamiltonian systems Functional Analysis and Its Applications. ,vol. 23, pp. 80- 81 ,(1989) , 10.1007/BF01078589
MG Krein, H Langer, R Troelstra, None, On some mathematical principles in the linear theory of damped oscillations of continua I Integral Equations and Operator Theory. ,vol. 1, pp. 364- 399 ,(1978) , 10.1007/BF01682844
M.P. Païdoussis, N.T. Issid, Dynamic stability of pipes conveying fluid Journal of Sound and Vibration. ,vol. 33, pp. 267- 294 ,(1974) , 10.1016/S0022-460X(74)80002-7
A. A. Shkaliko, Operator Pencils Arising in Elasticity and Hydrodynamics: The Instability Index Formula Recent Developments in Operator Theory and Its Applications. pp. 358- 385 ,(1996) , 10.1007/978-3-0348-9035-9_17
A. Shkalikov, P. Lancaster, Damped vibrations of beams and related spectral problems Canad. Appl. Math. Quart. ,vol. 2, pp. 45- 90 ,(1994)
Tosio Kato, Perturbation theory for linear operators Springer Berlin Heidelberg. ,(1966) , 10.1007/978-3-642-53393-8