Eigenvalues of regular Sturm-Liouville problems

Journal of Differential Equations

Volumn 131, Issue 1, 1996, Pages 1-19

  Kong, Q ^a   Zettl, A ^a  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030579049     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0154     Document Type: Article

References (13)

1. P. B. Bailey, W. N. Everitt, and A. Zettl, Computing eigenvalues of singular Sturm-Liouville problems, Results in Math. 20 (1991), 391-423.,
2. P. B. Bailey, W. N. Everitt, and A. Zettl, Regular and singular Sturm-Liouville problems with coupled boundary conditions, Proc. Roy. Soc. Edinburgh 126A (1996), 505-514.
3. P. B. Bailey, W. N. Everitt, and A. Zettl, Sleign2: An eigenfunction-eigenvalue code for singular Sturm-Liouville problems, preprint.
4. P. B. Bailey, M. K. Gordon, and L. F. Shampine, Automatic solution of the Sturm-Liouville problem, ACM TOMS 4 (1978), 193-208.
5. M. Dauge and B. Helffer, Eigenvalues variation, I: Neumann problem for Sturm-Liouville operators, J. Differential Equations 104 (1993), 243-262.
6. J. Dieudonné, "Foundations of Modern Analysis," Academic Press, New York/London, 1969.
7. W. N. Everitt and D. Race, On necessary and sufficient conditions for the existence of Caratheodory solutions of ordinary differential equations, Quaestiones Math. 3, No. 2 (1976), 507-512.
8. Q. Kong and A. Zettl, Dependence of eigenvalues of Sturm-Liouville problems on the boundary, J. Differential Equations, to appear.
9. Q. Kong and A. Zettl, Linear ordinary differential equations, in "Inequalities and Applications" (R. P. Agarwal, Ed.), WSSIAA 3 (1994), 381-397. [Special volume dedicated to W. Walter]
10. M. Moeller, On the unboundedness below of the Sturm-Liouville operator, Results in Math., to appear.
11. J. Poeschel and E. Trubowitz, "Inverse Spectral Theory," Academic Press, New York/London/Sydney, 1987.
12. J. Pryce, Do2kef-nag fortran library routine document, NAG FORTRAN Library Routine Document.
13. J. Weidmann, "Spectral Theory of Ordinary Differential Operators," Lecture Notes in Mathematics, Vol. 1258, Springer-Verlag, Berlin, 1987.