Some problems of the spectral theory of operator pencils.
Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Jean Dolbeault, Maria Esteban, Eric Séré (2006)
Journal of the European Mathematical Society
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This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
Taylor, A. E.
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P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Solomon Leader (1967)
Fundamenta Mathematicae
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Mario Durán, Jean-Claude Nédélec (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We are interested in the theoretical study of a spectral problem arising in a physical situation, namely interactions of fluid-solid type structure. More precisely, we study the existence of solutions for a quadratic eigenvalue problem, which describes the vibrations of a system made up of two elastic bodies, where a slip is allowed on their interface and which surround a cavity full of an inviscid and slightly compressible fluid. The problem shall be treated like a generalized...
Everitt, W.N., Marletta, M., Zettl, A. (2001)
Journal of Inequalities and Applications [electronic only]
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Pushnitski, Alexander, Rozenblum, Grigori (2007)
Documenta Mathematica
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Alan McIntosh, Alan Pryde, Werner Ricker (1988)
Studia Mathematica
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