Existence and asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type

Authors
Binding, PA Volkmer, H
Citation
Pa. Binding et H. Volkmer, Existence and asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type, J DIFF EQUA, 172(1), 2001, pp. 116-133
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
172
Issue
1
Year of publication
2001
Pages
116 - 133
Database
ISI
SICI code
0022-0396(20010501)172:1<116:EAAOEO>2.0.ZU;2-M
Abstract
Existence and asymptotic behavior of eigenvalues of indefinite Sturm-Liouvi lle and Dirac systems with integrable coefficients art investigated using P rufer angle analysis. The results generalize those previously obtained by A tkinson, Mingarelli. Gohberg and Krein and are based on a new theorem that determines tile asymptotic behavior of the solution of a Riccati-type equat ion containing a large parameter. (C) 2001 Academic Press