Selfadjoint linear pencils ΛF-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.
|Number of pages||23|
|Journal||Integral Equations and Operator Theory|
|State||Published - Sep 1993|
- AMS Subject Classification: 47A70, 47E05
ASJC Scopus subject areas
- Algebra and Number Theory