Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 6, 1997, Pages 1123-1136

  Binding, P A ^a   Browne, Patrick J ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747477948     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500026974     Document Type: Article

References (14)

1. P. A. Binding and P. J. Browne. Application of two-parameter spectral theory to symmetric generalized eigenvalue problems. Appl. Anal. 29 (1988), 107-42.
2. P. A. Binding and P. J. Browne. Spectral properties of two parameter eigenvalue problems II. Proc. Roy. Soc. Edinburgh Sect. A 106 (1987), 39-53
3. (Corrigendum with R. H. Picard, ibid. 115 (1990), 87-90).
4. P. A. Binding and P. J. Browne. Application of two parameter eigencurves to Sturm-Liouville problems with eigenparameter-dependent boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 1205-18.
5. P. A. Binding and P. J. Browne. Left definite Sturm-Liouville problems with eigenparameter-dependent boundary conditions (submitted).
6. P. A. Binding, P. J. Browne and K. Seddighi. Sturm-Liouville problems with eigenparameter-dependent boundary conditions. Proc. Edinburgh Math. Soc. 37 (1993), 57-72.
7. P. A. Binding and K. Seddighi. On root vectors of self-adjoint pencils. J. Funct. Anal. 70 (1987), 117-25.
8. A. Dijksma and H. Langer. Operator theory and ordinary differential operators (Fields Institute Lectures, October, 1994).
9. W. N. Everitt, N. K. Kwong and A. Zetti. Oscillation of eigenfunctions of weighted regular Sturm-Liouville problems. J. London Math. Soc. 27 (1983), 106-20.
10. C. T. Fulton. Two point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proc. Roy. Soc. Edinburgh Sect. A 77 (1977), 293-308.
11. H. Langer. Spectral functions of definitizable operators in Krein spaces. Lecture Notes in Math. 948 (1982), 1-46.
12. H. Langer and A. Schneider. On spectral properties of regular quasidefinite pencils F - λG. Results in Math. 19 (1991), 89-109.
13. W. T. Reid. Sturmian Theory for Ordinary Differential Equations (Berlin: Springer, 1980).
14. J. Walter. Regular eigenvalue problems with eigenvalue parameter in the boundary conditions. Math. Z. 133 (1973), 301-12.