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Volumn 83, Issue 4, 2003, Pages 275-281

The Courant-Herrmann conjecture

Author keywords

Combination of modes; Membrane; Vibration

Indexed keywords


EID: 33748512416     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.200310034     Document Type: Article
Times cited : (18)

References (10)
  • 1
    • 0011595705 scopus 로고
    • The topology of real algebraic curves (the works of Petrovskii and their development)
    • V. Arnol'd, The topology of real algebraic curves (the works of Petrovskii and their development), Uspekhi Mat. Nauk 28(5), 260-262 (1973).
    • (1973) Uspekhi Mat. Nauk , vol.28 , Issue.5 , pp. 260-262
    • Arnol'd, V.1
  • 2
    • 51249192264 scopus 로고
    • Eigenfunctions and nodal sets
    • S. Cheng, Eigenfunctions and nodal sets, Comment. Math. Helvetici 51, 43-55 (1976).
    • (1976) Comment. Math. Helvetici , vol.51 , pp. 43-55
    • Cheng, S.1
  • 5
    • 0000827674 scopus 로고
    • A property of eigenvectors of non negative symmetric matrices and its application to graph theory
    • M. Fiedler, A property of eigenvectors of non negative symmetric matrices and its application to graph theory, Czech Math. J. 25, 619-633 (1975).
    • (1975) Czech Math. J. , vol.25 , pp. 619-633
    • Fiedler, M.1
  • 6
    • 0003631756 scopus 로고
    • (State Publishing House for Technical Theoretical Literature, Moscow, Leningrad, USSR) (Translation: US Atomic Energy Commission, Washington DC)
    • F. P. Gantmakher and M. G. Krein, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems (State Publishing House for Technical Theoretical Literature, Moscow, Leningrad, USSR, 1950) (Translation: US Atomic Energy Commission, Washington DC 1961).
    • (1950) Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems
    • Gantmakher, F.P.1    Krein, M.G.2
  • 8
    • 0036472213 scopus 로고    scopus 로고
    • Courant's nodal line theorem and its discrete counterparts
    • G.M. L. Gladwell and H.M. Zhu, Courant's nodal line theorem and its discrete counterparts, Quart. J. Mech. Appl. Math. 55, 1-15 (2002).
    • (2002) Quart. J. Mech. Appl. Math. , vol.55 , pp. 1-15
    • Gladwell, G.M.L.1    Zhu, H.M.2
  • 9
    • 0008478590 scopus 로고
    • Beziehungen zwischen den eigenwerten und eigenfunktionen verschiedener eigenwertprobleme
    • H. Herrmann, Beziehungen zwischen den Eigenwerten und Eigenfunktionen verschiedener Eigenwertprobleme, Math. Z. 40, 221-241 (1935).
    • (1935) Math. Z. , vol.40 , pp. 221-241
    • Herrmann, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.