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Volumn 38, Issue 2, 2000, Pages 190-206

Variational principles for real eigenvalues of self-adjoint operator pencils

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EID: 0034366427     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01200123     Document Type: Article
Times cited : (24)

References (14)
  • 1
    • 0002360734 scopus 로고
    • Second order elliptic equations with degenerate weight
    • W. Allegretto, Second order elliptic equations with degenerate weight, Proc. Amer. Math. Soc. 107 (1989), 989-998.
    • (1989) Proc. Amer. Math. Soc. , vol.107 , pp. 989-998
    • Allegretto, W.1
  • 2
    • 0037823474 scopus 로고
    • Variational methods in the theory of operator pencils
    • Russian
    • Ju. S. Abramov, Variational Methods in the Theory of Operator Pencils, Izd. Leningradsk. Univ. 1983 (Russian).
    • (1983) Izd. Leningradsk. Univ.
    • Abramov, Ju.S.1
  • 3
    • 0001648740 scopus 로고
    • Spectral properties of a class of rational operator valued functions
    • V. M. Adamjan, H. Langer, 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.M.1    Langer, H.2
  • 4
    • 0002969455 scopus 로고    scopus 로고
    • Spectral components of self-adjoint block operator matrices with unbounded entries
    • V. Adamyan, H. Langer, R. Mennicken, J. Saurer, Spectral components of self-adjoint block operator matrices with unbounded entries, Math. Nachr. 178 (1996), 43-80.
    • (1996) Math. Nachr. , vol.178 , pp. 43-80
    • Adamyan, V.1    Langer, H.2    Mennicken, R.3    Saurer, J.4
  • 5
    • 0002360736 scopus 로고
    • A minimax principle for nonoverdamped systems
    • E. M. Barston, A minimax principle for nonoverdamped systems, Internat. J. Engrg. Sci. 12 (1974), 413-421.
    • (1974) Internat. J. Engrg. Sci. , vol.12 , pp. 413-421
    • Barston, E.M.1
  • 6
    • 84963120330 scopus 로고
    • Applications of two parameter spectral theory to symmetric generalized eigenvalue problems
    • P. A. Binding, P. J. Browne, Applications of two parameter spectral theory to symmetric generalized eigenvalue problems, Appl. Anal. 29 (1988), 107-142.
    • (1988) Appl. Anal. , vol.29 , pp. 107-142
    • Binding, P.A.1    Browne, P.J.2
  • 8
    • 0001298703 scopus 로고    scopus 로고
    • The essential spectrum of a non-elliptic boundary value problem
    • H. Langer, M. Möller, The essential spectrum of a non-elliptic boundary value problem, Math. Nachr. 178 (1996), 233-248.
    • (1996) Math. Nachr. , vol.178 , pp. 233-248
    • Langer, H.1    Möller, M.2
  • 9
    • 0003946583 scopus 로고
    • Introduction to the spectral theory of polynomial operator pencils
    • American Mathematical Society
    • A. S. Markus, Introduction to the Spectral Theory of Polynomial Operator Pencils, American Mathematical Society, Transl. of Mathematical Monographs, Vol. 71, 1980.
    • (1980) Transl. of Mathematical Monographs , vol.71
    • Markus, A.S.1
  • 10
    • 84979321168 scopus 로고
    • Über eine klasse von eigenwertaufgaben mit nichtlinearer parameterabhängigkeit
    • P. H. Müller, Über eine Klasse von Eigenwertaufgaben mit nichtlinearer Parameterabhängigkeit, Math. Nachr. 12, 3-4 (1954), 173-181.
    • (1954) Math. Nachr. , vol.12 , Issue.3-4 , pp. 173-181
    • Müller, P.H.1
  • 11
    • 34249970225 scopus 로고
    • Eigenvalues of a certain quadratic pencil of operators
    • V. N. Pivovarchik, Eigenvalues of a certain quadratic pencil of operators, Funct. Anal. Appl. 23,1 (1989), 80-81.
    • (1989) Funct. Anal. Appl. , vol.23 , Issue.1 , pp. 80-81
    • Pivovarchik, V.N.1
  • 12
    • 34250946417 scopus 로고
    • A minimax theory for overdamped systems
    • E. H. Rogers, A minimax theory for overdamped systems, Arch. Rational Mech. Anal. 16 (1964), 89-96.
    • (1964) Arch. Rational Mech. Anal. , vol.16 , pp. 89-96
    • Rogers, E.H.1
  • 14
    • 0002339117 scopus 로고
    • Das spektrum von operatorenscharen mit verallgemeinerten Rayleighquotienten
    • B. Werner, Das Spektrum von Operatorenscharen mit verallgemeinerten Rayleighquotienten, Arch. Rational Mech. Anal. 42 (1971), 223-238.
    • (1971) Arch. Rational Mech. Anal. , vol.42 , pp. 223-238
    • Werner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.