Resonances of a λ-rational Sturm-Liouville problem

Royal Society of Edinburgh - Proceedings A

Volumn 131, Issue 3, 2001, Pages 709-720

  Langer, Matthias ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

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Indexed keywords

EID: 23044526138     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500001062     Document Type: Article

References (9)

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3. V. Adamjan, H. Langer and R. Mennicken. Eigenvalues of a Sturm-Liouville problem depending rationally on the eigenvalue parameter. In Proc. of MTNS, Invited and Contributed Papers, vol. II, pp. 589-594 (1993).
4. E. P. Bogomolova. Some questions of the spectral analysis of a nonselfadjoint differential operator with a 'floating singularity' in the coefficient. Differentsial'nye Uravneniya 21 (1985), 1843-1849. (In Russian.)
5. M. Langer. Eigenvalues of a λ-rational Sturm-Liouville problem. Math. Nachr. 210 (2000), 163-176.
6. H. Langer, R. Mennicken and M. Möller. A second order differential operator depending nonlinearly on the eigenvalue parameter. Operator Theory Advances and Applications, vol. 48, pp. 319-332 (Basel: Birkhauser, 1990).
7. R. Mennicken and A. K. Motovilov. Operator interpretation of resonances arising in spectral problems for 2 x 2 operator matrices. Math. Nachr. 201 (1999), 117-181.
8. M. Reed and B. Simon. Analysis of operators. Methods of modern mathematical physics, vol. 4 (Academic, 1978).
9. M. Rosenblum and J. Rovnyak. Topics in Hardy classes and univalent functions (Basel: Birkhäuser, 1994).