Sturm-Liouville problems with boundary conditions depending quadratically on the eigenparameter

Journal of Mathematical Analysis and Applications

Volumn 309, Issue 2, 2005, Pages 729-742

  Code, Warren J ^a   Browne, Patrick J ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Eigenparameter dependent boundary conditions; Sturm Liouville

Indexed keywords

EID: 22944435884     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.11.067     Document Type: Article

References (10)

1. P.A. Binding, P.J. Browne, W.J. Code, B.A. Watson, Transformation of Sturm-Liouville problems with decreasing affine boundary conditions, Proc. Edinburgh Math. Soc., in press
2. P.A. Binding, P.J. Browne, B.A. Watson, Equivalence of inverse Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, J. Math. Anal. Appl., in press
3. W.J. Code, Sturm-Liouville problems with eigenparameter dependent boundary conditions, MSc thesis, University of Saskatchewan, 2003
4. P.A. Binding P.J. Browne B.A. Watson Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, II J. Comput. Appl. Math. 148 2002 147-168
5. P.A. Binding P.J. Browne B.A. Watson Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, I Proc. Edinburgh Math. Soc. 45 2002 631-645
6. P.A. Binding P.J. Browne B.A. Watson Transformations between Sturm-Liouville problems with eigenvalue dependent and independent boundary conditions Bull. London Math. Soc. 33 2001 749-757
7. P.A. Binding P.J. Browne K. Seddighi Sturm-Liouville problems with eigenparameter dependent boundary conditions Proc. Edinburgh Math. Soc. 37 1993 57-72
8. M.A. Naimark Linear Differential Operators, Part I 1967 Ungar New York
9. F.V. Atkinson Discrete and Continuous Boundary Problems 1964 Academic Press New York
10. M.M. Crum Associated Sturm-Liouville systems Quart. J. Math. Oxford (2) 6 1955 121-127