메뉴 건너뛰기




Volumn 171, Issue 2, 2001, Pages 315-345

A spectral theory for a λ-rational Sturm-Liouville problem

Author keywords

Block operator matrix; Nonlinear eigenvalue problem; Spectral density

Indexed keywords


EID: 0035836870     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3841     Document Type: Article
Times cited : (23)

References (15)
  • 1
    • 0001648740 scopus 로고
    • Spectral properties of a class of rational operator valued functions
    • Adamjan V., Langer H. Spectral properties of a class of rational operator valued functions. J. Operator Theory. 33:1995;259-277.
    • (1995) J. Operator Theory , vol.33 , pp. 259-277
    • Adamjan, V.1    Langer, H.2
  • 2
    • 0007110129 scopus 로고
    • Eigenvalues of a Sturm-Liouville problem depending rationally on the eigenvalue parameter
    • V. Adamjan, H. Langer, and R. Mennicken, Eigenvalues of a Sturm-Liouville problem depending rationally on the eigenvalue parameter, in "Proceedings of MTNS, Invited and Contributed Papers, 1993," Vol. II, pp. 589-594.
    • (1993) Proceedings of MTNS, Invited and Contributed Papers , vol.2 , pp. 589-594
    • Adamjan, V.1    Langer, H.2    Mennicken, R.3
  • 3
    • 0002528696 scopus 로고
    • Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter
    • Atkinson F. V., Langer H., Mennicken R. Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter. Acta Sci. Math. (Szeged). 57:1993;25-44.
    • (1993) Acta Sci. Math. (Szeged) , vol.57 , pp. 25-44
    • Atkinson F., V.1    Langer, H.2    Mennicken, R.3
  • 5
    • 0001620652 scopus 로고
    • Some questions of the spectral analysis of a nonselfadjoint differential operator with a "floating singularity" in the coefficient
    • Bogomolova E. P. Some questions of the spectral analysis of a nonselfadjoint differential operator with a "floating singularity" in the coefficient. Differents. Uravneniya. 21:1985;1843-1849.
    • (1985) Differents. Uravneniya , vol.21 , pp. 1843-1849
    • Bogomolova E., P.1
  • 6
    • 0003301335 scopus 로고
    • Introduction to the Theory of Linear Nonselfadjoint Operators
    • Providence: American Math. Society
    • Gohberg I. C., Krein M. G. Introduction to the Theory of Linear Nonselfadjoint Operators. Translations of Math. Monographs. 18:1969;American Math. Society, Providence.
    • (1969) Translations of Math. Monographs , vol.18
    • Gohberg I., C.1    Krein M., G.2
  • 9
    • 0003127680 scopus 로고
    • R-functions-Analytic functions mapping the upper halfplane into itself
    • Kac I. S., Krein M. G. R-functions-Analytic functions mapping the upper halfplane into itself. Amer. Math. Soc. Transl. (2). 103:1974;1-18.
    • (1974) Amer. Math. Soc. Transl. (2) , vol.103 , pp. 1-18
    • Kac I., S.1    Krein M., G.2
  • 10
    • 0000372158 scopus 로고    scopus 로고
    • Eigenvalues of a λ-rational Sturm-Liouville problem
    • Langer M. Eigenvalues of a λ-rational Sturm-Liouville problem. Math. Nachr. 210:2000;163-176.
    • (2000) Math. Nachr. , vol.210 , pp. 163-176
    • Langer, M.1
  • 12
    • 0000297217 scopus 로고
    • A second-order differential operator depending nonlinearly on the eigenvalue parameter
    • Basel: Birkhäuser. p. 319-332
    • Langer H., Mennicken R., Möller M. A second-order differential operator depending nonlinearly on the eigenvalue parameter. Operator Theory, Advances and Applications. 1990;Birkhäuser, Basel. p. 319-332.
    • (1990) Operator Theory, Advances and Applications
    • Langer, H.1    Mennicken, R.2    Möller, M.3
  • 13
    • 0007065205 scopus 로고
    • Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities
    • R. Mennicken, H. Schmid, and A. A. Shkalikov, Criterion on the eigenvalue accumulation of nonlinear spectral problems for ordinary differential operators with singularities, in "Proceedings of MTNS, Invited and Contributed Papers, 1993," Vol. II, pp. 793-798.
    • (1993) Proceedings of MTNS, Invited and Contributed Papers , vol.2 , pp. 793-798
    • Mennicken, R.1    Schmid, H.2    Shkalikov, A.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.