ON THE DISCRETE SPECTRUM OF A LINEAR OPERATOR PENCIL ARISING IN TRANSPORT THEORY

被引：0

作者：

Cojuhari, P. A. ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2014年 / 20卷 / 01期

关键词：

Spectral theory; compact perturbation; operator pencil; transport equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：10 / 16

页数：7

共 7 条

[1] SCATTERING THEORY, ORTHOGONAL POLYNOMIALS, AND TRANSPORT-EQUATION [J].

CASE, KM .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (07) :974-983

[2] Estimates of the discrete spectrum of a linear operator pencil [J].

Cojuhari, P. A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) :1394-1409

[3] On the finiteness of the discrete spectrum of the Dirac operator [J].

Cojuhari, PA .

REPORTS ON MATHEMATICAL PHYSICS, 2006, 57 (03) :333-341

[4]

Gradshteyn I. S., 1980, TABLES INTEGRALS SER, V4th

[5]

KAPER HG, 1982, OPER THEORY ADV APPL, V5

[6]

Lekkerkerker C. G., 1981, INTEGR EQUAT OPER TH, V4, P245

[7]

Maslennikov M. V., 1968, P STEKLOV I MATH, V97, P1

← 1 →