On the discrete spectrum of a linear operator pencil arizing in transport theory (Q2877330)

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scientific article; zbMATH DE number 6333568
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On the discrete spectrum of a linear operator pencil arizing in transport theory
scientific article; zbMATH DE number 6333568

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    21 August 2014
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    operator pencil
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    transport equation
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    On the discrete spectrum of a linear operator pencil arizing in transport theory (English)
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    The author finds new sufficient conditions for the finiteness of the discrete spectrum for a linear operator pencil occurring in one-velocity transport theory. The technique is based on abstract perturbation theory. For earlier results in this direction, see \textit{K. M. Case} [J. Math. Phys. 15, 974--983 (1974; Zbl 0293.45004)]; \textit{C. G. Lekkerkerker} [Integral Equations Oper. Theory 4, 245--274 (1981; Zbl 0459.47005)].
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