On the discrete spectrum of a linear operator pencil arising in transport theory

Authors

  • P. A. Cojuhari Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

DOI:

Keywords:

Spectral theory, compact perturbation, operator pencil, transport equation

Abstract

We study the problem of the finiteness of the discrete spectrum for linear operator pencils occurring in one-velocity transport theory. The results are obtained using direct methods of perturbation theory for linear operators. The proposed approach allowed to give a relatively quick proofs of the main results improving related results obtained previously by K. M. Case and C. G. Lekkerkerker.

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Published

2014-03-25

Issue

Vol. 20 No. 1 (2014)

Section

Articles

How to Cite

Cojuhari, P. A. “On the Discrete Spectrum of a Linear Operator Pencil Arising in Transport Theory”. Methods of Functional Analysis and Topology, vol. 20, no. 1, Mar. 2014, pp. 10-16, https://zen.imath.kiev.ua/index.php/mfat/article/view/563.