STRONGLY DEFINITIZABLE LINEAR PENCILS IN HILBERT-SPACE

被引：25

作者：

LANCASTER, P

SHKALIKOV, A

YE, Q

机构：

[1] UNIV CALGARY, DEPT MATH & STAT, CALGARY T2N 1N4, ALBERTA, CANADA

[2] MOSCOW MV LOMONOSOV STATE UNIV, DEPT MATH, MOSCOW, RUSSIA

[3] UNIV MANITOBA, DEPT APPL MATH, WINNIPEG R3T 2N2, MANITOBA, CANADA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1993年 / 17卷 / 03期

关键词：

AMS Subject Classification: 47A70; 47E05;

D O I：

10.1007/BF01200290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Selfadjoint linear pencils lambdaF - G are considered which have discrete spectrum and neither F nor G is definite. Several characterizations are given of a ''strongly definitizable'' property when F and G are bounded, and also when both operators are unbounded. The theory is applied to analysis of the stability of a linear second order initial-boundary value problem with boundary conditions dependent on the eigenvalue parameter.

引用

页码：338 / 360

页数：23

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