메뉴 건너뛰기




Volumn 29, Issue 4, 1998, Pages 935-966

Isospectral sets for fourth-order ordinary differential operators

Author keywords

Inverse spectral problem; Ordinary differential equations

Indexed keywords


EID: 0032385087     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096311198     Document Type: Article
Times cited : (30)

References (29)
  • 1
    • 84984485461 scopus 로고
    • On the uniqueness of inverse eigenvalue problems
    • V. BARCILON, On the uniqueness of inverse eigenvalue problems, J. Roy. Astr. Soc., 38 (1974), pp. 287-298.
    • (1974) J. Roy. Astr. Soc. , vol.38 , pp. 287-298
    • Barcilon, V.1
  • 2
    • 84984509038 scopus 로고
    • On the solution of inverse eigenvalue problems of higher orders
    • V. BARCILON, On the solution of inverse eigenvalue problems of higher orders, Geophys. J. R. Astr. Soc., 39 (1974), pp. 143-154.
    • (1974) Geophys. J. R. Astr. Soc. , vol.39 , pp. 143-154
    • Barcilon, V.1
  • 3
    • 34250390449 scopus 로고
    • Inverse problem for a vibrating beam
    • V. BARCILON, Inverse problem for a vibrating beam, J. Appl. Math. Phys. (ZAMP), 27 (1976), pp. 347-358.
    • (1976) J. Appl. Math. Phys. (ZAMP) , vol.27 , pp. 347-358
    • Barcilon, V.1
  • 4
    • 0018683999 scopus 로고
    • On the multiplicity of solutions of the inverse problem for a vibrating beam
    • V. BARCILON, On the multiplicity of solutions of the inverse problem for a vibrating beam, SIAM J. Appl. Math., 37 (1979), pp. 605-613.
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 605-613
    • Barcilon, V.1
  • 5
    • 0001344780 scopus 로고
    • Inverse problem for the vibrating beam in the free-clamped configuration
    • V. BARCILON, Inverse problem for the vibrating beam in the free-clamped configuration, Philos. Trans. Roy. Soc. London Ser. A, 304 (1982), pp. 211-251.
    • (1982) Philos. Trans. Roy. Soc. London Ser. A , vol.304 , pp. 211-251
    • Barcilon, V.1
  • 6
    • 0007282999 scopus 로고
    • Inverse Eigenvalue Problems
    • Springer, New York
    • V. BARCILON, Inverse Eigenvalue Problems, in Inverse Problems, Lecture Notes in Math. 1225, Springer, New York, 1986, pp. 1-51.
    • (1986) Inverse Problems, Lecture Notes in Math , vol.1225 , pp. 1-51
    • Barcilon, V.1
  • 7
    • 0007150524 scopus 로고
    • Sufficient conditions for the solution of the inverse problem for a vibrating beam
    • V. BARCILON, Sufficient conditions for the solution of the inverse problem for a vibrating beam, Inverse Problems, 3 (1989), pp. 181-193.
    • (1989) Inverse Problems , vol.3 , pp. 181-193
    • Barcilon, V.1
  • 8
    • 0040117978 scopus 로고
    • Sur les bases dans l'espace de hilbert
    • N. K. BARI, Sur les bases dans l'espace de Hilbert, Dokl. Akad. Nauk SSSR, 54 (1946), pp. 379-382.
    • (1946) Dokl. Akad. Nauk SSSR , vol.54 , pp. 379-382
    • Bari, N.K.1
  • 9
    • 0007218895 scopus 로고
    • On the completeness of some sets of functions
    • G. BORG, On the completeness of some sets of functions, Acta. Math., 81 (1949), pp. 265-283.
    • (1949) Acta. Math. , vol.81 , pp. 265-283
    • Borg, G.1
  • 10
    • 84990619700 scopus 로고
    • Solution of the inverse spectral problem for an impedance with integrable derivative
    • C. COLEMAN AND J. MCLAUGHLIN, Solution of the inverse spectral problem for an impedance with integrable derivative, I, II, Comm. Pure Appl. Math., 46 (1993), pp. 145-184 and 185-212.
    • (1993) I, II, Comm. Pure Appl. Math. , vol.46 , pp. 145-184
    • Coleman, C.1    McLaughlin, J.2
  • 11
    • 84990553252 scopus 로고
    • The inverse Sturm-Liouville problem III
    • B. DAHLBERG AND E. TRUBOWITZ, The inverse Sturm-Liouville problem III, Comm. Pure Appl. Math., 37 (1984), pp. 255-267.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 255-267
    • Dahlberg, B.1    Trubowitz, E.2
  • 12
    • 0040117977 scopus 로고
    • The Sturm-Liouville problem for fourth-order ordinary differential equations
    • W. N. EVERITT, The Sturm-Liouville problem for fourth-order ordinary differential equations, Quart. J. Math, 8 (1957), pp. 146-160.
    • (1957) Quart. J. Math , vol.8 , pp. 146-160
    • Everitt, W.N.1
  • 13
    • 0001416481 scopus 로고
    • The inverse problem for the Euler-Bernoulli beam
    • G. M. L. GLADWELL, The inverse problem for the Euler-Bernoulli beam, Proc. Roy. Soc. London Ser. A, 407 (1986), pp. 199-218.
    • (1986) Proc. Roy. Soc. London Ser. A , vol.407 , pp. 199-218
    • Gladwell, G.M.L.1
  • 15
    • 0023648566 scopus 로고
    • Examples of reconstruction of vibrating rods from, spectral data, 3
    • G. M. L. GLADWELL AND S. R. A. DODS, Examples of reconstruction of vibrating rods from, spectral data, 3. Sound Vibration, 119 (1987), pp. 267-276.
    • (1987) Sound Vibration , vol.119 , pp. 267-276
    • Gladwell, G.M.L.1    Dods, S.R.A.2
  • 16
    • 0023453763 scopus 로고
    • Examples of reconstruction of an Euler-Bernoulli beam from spectral data
    • G. M. L. GLADWELL, A. H. ENGLAND, AND D. WANG, Examples of reconstruction of an Euler-Bernoulli beam from spectral data, J. Sound Vibration, 119 (1987), pp. 81-94.
    • (1987) J. Sound Vibration , vol.119 , pp. 81-94
    • Gladwell, G.M.L.1    England, A.H.2    Wang, D.3
  • 19
    • 84990585787 scopus 로고
    • The inverse Sturm-Liouville problem I
    • E. ISAACSON AND E. TRUBOWITZ, The inverse Sturm-Liouville problem I, Comm. Pure Appl. Math., 36 (1983), pp. 767-783.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 767-783
    • Isaacson, E.1    Trubowitz, E.2
  • 20
    • 0007283094 scopus 로고
    • An inverse eigenvalue problem of order four
    • J. R. MCLAUGHLIN, An inverse eigenvalue problem of order four, SIAM J. Math. Anal., 7 (1976), pp. 646-661.
    • (1976) SIAM J. Math. Anal. , vol.7 , pp. 646-661
    • McLaughlin, J.R.1
  • 21
    • 0007217306 scopus 로고
    • An inverse eigenvalue problem of order four - An infinite case
    • J. MCLAUGHLIN, An inverse eigenvalue problem of order four - an infinite case, SIAM J. Math. Anal., 9 (1978), pp. 395-413.
    • (1978) SIAM J. Math. Anal. , vol.9 , pp. 395-413
    • McLaughlin, J.1
  • 22
    • 0039526343 scopus 로고
    • Fourth-order inverse eigenvalue problems
    • I. W. Knowles and R. Lewis, eds., North-Holland, Amsterdam
    • J. MCLAUGHLIN, Fourth-order inverse eigenvalue problems, in Spectral Theory of Differential Operators, I. W. Knowles and R. Lewis, eds., North-Holland, Amsterdam, 1981.
    • (1981) Spectral Theory of Differential Operators
    • McLaughlin, J.1
  • 23
    • 0039526342 scopus 로고
    • Bounds for constructed solutions of second-and fourth-order inverse eigen-value problems
    • (Birmingham, Alabama, 1983), North-Holland, Amsterdam
    • J. MCLAUGHLIN, Bounds for constructed solutions of second-and fourth-order inverse eigen-value problems, in Differential Equations (Birmingham, Alabama, 1983), North-Holland, Amsterdam, 1984, pp. 437-443.
    • (1984) Differential Equations , pp. 437-443
    • McLaughlin, J.1
  • 24
    • 0022680730 scopus 로고
    • Analytical methods for recovering coefficients in differential equations from spectral data
    • J. MCLAUGHLIN, Analytical methods for recovering coefficients in differential equations from spectral data, SIAM Rev., 28 (1986), pp. 53-72.
    • (1986) SIAM Rev. , vol.28 , pp. 53-72
    • McLaughlin, J.1
  • 27
    • 0000891477 scopus 로고
    • Isospectral sets for boundary value problems on the unit interval
    • J. RALSTON AND E. TRUBOWITZ, Isospectral sets for boundary value problems on the unit interval, Ergodic Theory Dynamical Systems, 8 (1988), pp. 301-358.
    • (1988) Ergodic Theory Dynamical Systems , vol.8 , pp. 301-358
    • Ralston, J.1    Trubowitz, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.