Eigenvalues of a λ-rational Sturm-Liouville problem

Mathematische Nachrichten

Volumn 210, Issue , 2000, Pages 163-176

  Langer, Matthias ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Embedded eigenvalues; Rational eigenvalue problem; Sturm Liouville problem

Indexed keywords

EID: 0000372158     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C     Document Type: Article

References (9)

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2. ADAMJAN, V., LANGER, H., and MENNICKEN, R.: Eigenvalues of a Sturm-Liouville Problem Depending Rationally on the Eigenvalue Parameter, Proceedings of MTNS, Vol. II, Invited and Contributed Papers, 1993, 569-594
3. ATKINSON, F. V., LANGER, H., MENNICKEN, R., and SHKALIKOV, A. A: The Essential Spectrum of Some Matrix Operators, Math. Nachr. 167 (1994), 5-20
4. BOGOMOLOVA, E. P.: Some Questions of the Spectral Analysis of a Nonselfadjoint Differential Operator with a "Floating Singularity" in the Coefficient, Differentsial'nye Uravneniya 21, 11 (1985), 1843-1849 [Russian]
5. GOHBERG, I., GOLDBERG, S., and KAASHOEK, M. A.: Classes of Linear Operators, Vol. I, Oper. Theory Adv. Appl., Vol. 49, Birkhäuser Verlag, Basel-Boston-Berlin, 1990
6. HEUSER, H.: Gewöhnliche Differentialgleichungen, B. G. Teubner, Stuttgart, 1991
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8. LANGER, H., MENNICKEN, R., and MÖLLER, M.: A Second Order Differential Operator Depending Nonlinearly on the Eigenvalue Parameter, Oper. Theory Adv. Appl., Vol. 48, Birkhäuser Verlag, Basel, 1990, 319-332
9. MENNICKEN, R., SCHMID, H., and SHKALIKOV, A. A.: Criterion on the Eigenvalue Accumulation of Nonlinear Spectral Problems for Ordinary Differential Operators with Singularities, Proceedings of MTNS, Vol. II, Invited and Contributed Papers, 1993, 793-798