Form domains for sectorial operators related to generalized Sturm-Liouville problems

Quarterly Journal of Mathematics

Volumn 50, Issue 198, 1999, Pages 155-178

  Binding, P A ^a   Browne, P J ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033407005     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/50.198.155     Document Type: Article

References (11)

1. T. Ya Azizov, and I. S. Iohvidov, Linear Operators in Spaces with an Indefinite Metric, Wiley, Chichester, U.K., 1989
2. 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, 125A (1995), 1205-1218.
3. 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.
4. C. T. Fulton, 'Two point boundary value problems with eigenvalue parameter contained in the boundary conditions', Proc. Roy. Soc. Edinburgh, 77A (1977), 293-308.
5. Don B. Hinton, 'An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition', Quart. J. Math. Oxford, 30 (1979), 33-42.
6. T. Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin, 1966.
7. H. Langer, 'Spectral functions of definitizable operators in Krein spaces', Lecture Notes in Mathematics, 948, Springer-Verlag, 1982, 1-46.
8. M. A. Naimark, Linear Differential Operators, Ungar, New York, 1968.
9. C. Tretter, On λ-Nonlinear Boundary Eigenvalue Problems, Akademie Verlag, Berlin, 1993.
10. J. Walter, 'Regular eigenvalue problems with eigenvalue parameter in the boundary conditions', Math. Z., 133 (1973), 301-312.
11. S. D. Wray, 'An inequality involving a conditionally convergent Dirichlet integral of an ordinary differential expression', Utilitas Mathematica, 22 (1982), 161-184.