Sturm-Liouville problems and discontinuous eigenvalues

Royal Society of Edinburgh - Proceedings A

Volumn 129, Issue 4, 1999, Pages 707-716

  Everitt, W N ^a   Moller M ^b   Zettl, A ^c  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^c NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644448334     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500013093     Document Type: Article

References (8)

1. F. V. Atkinson. Discrete and continuous boundary problems (London and New York: Academic Press, 1964).
2. P. B. Bailey, W. N. Everitt, J. Weidmann and A. Zettl. Approximating the spectrum of singular Sturm-Liouville problems with eigenvalues of regular problems. Results Math. 23 (1993), 2-22.
3. P. B. Bailey, W. N. Everitt and A. Zettl. Computing eigenvalues of singular Sturm-Liouville problems. Results Math. 20 (1991), 391-423.
4. P. B. Bailey, W. N. Everitt and A. Zettl. SLEIGN2: a FORTRAN code for the numerical approximation of eigenvalues, eigenfunctions and continuous spectrum of Sturm-Liouville problems. (Available on the Web at ftp://ftp.math.niu.edu/pub/papers/Zettl/ Sleign2.)
5. W. N. Everitt, M. Möller and A. Zettl. Discontinous dependence of the n-th Sturm-Liouville eigenvalue. In General Inequalities 7: Proc. Int. Conf. on General Inequalities 7, Oberwolfach, 1995 (ed. C. Bandle, W. N. Everitt, L. Losonczi and W. Walter). International Series of Numerical Mathematics, vol. 123, pp. 147-150 (Basel: Birkhauser, 1997).
6. K. Jörgens. Spectral theory of second-order differential operators. Notes from lectures delivered at Aarhus Universitet, 1962/63. Matematisk Institut, Aarhus Universitet, Aarhus, Denmark, 1964.
7. M. Möller and A. Zettl. Differentiable dependence of simple eigenvalues of operators in Banach spaces. J. Operator Theory 36 (1996), 335-355.
8. J. Weidmann. Spectral theory of ordinary differential operators. Lecture Notes in Mathematics, vol. 1258 (Heidelberg: Springer, 1987).