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Volumn 26, Issue 3-4, 2001, Pages 219-238

Direct and inverse three-point Sturm-Liouville problem with parameter-dependent boundary conditions

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EID: 0035368710     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (34)
  • 2
    • 21844511805 scopus 로고
    • Inverse wave scattering with discontinuous wave speed
    • T. Aktosun, M. Klaus and C. van der Mee, Inverse wave scattering with discontinuous wave speed, J. Math. Phys. 36 (1995), 2880-2894.
    • (1995) J. Math. Phys. , vol.36 , pp. 2880-2894
    • Aktosun, T.1    Klaus, M.2    Van Der Mee, C.3
  • 3
    • 0032385701 scopus 로고    scopus 로고
    • Wave scattering in one dimension with absorption
    • T. Aktosun, M. Klaus and C. van der Mee, Wave scattering in one dimension with absorption, J. Math. Phys. 39(4) (1998), 1957-1992.
    • (1998) J. Math. Phys. , vol.39 , Issue.4 , pp. 1957-1992
    • Aktosun, T.1    Klaus, M.2    Van Der Mee, C.3
  • 4
  • 5
    • 0346206999 scopus 로고
    • On entire functions with real alternating roots
    • in Russian
    • N.G. Chebotarev, On entire functions with real alternating roots, Dokl. AN SSSR 35 (1942), 219-222 (in Russian).
    • (1942) Dokl. AN SSSR , vol.35 , pp. 219-222
    • Chebotarev, N.G.1
  • 6
    • 84990619700 scopus 로고
    • Solution of the inverse spectral problem for an impedance with integrable derivatives, Parts I, II
    • C.F. Coleman and J.R. McLaughlin, Solution of the inverse spectral problem for an impedance with integrable derivatives, Parts I, II, Comm. Pure Appl. Math. XLVI (1993), 145-184, 185-212.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 145-184
    • Coleman, C.F.1    McLaughlin, J.R.2
  • 8
    • 0000786583 scopus 로고
    • The rate at which energy decays in a string damped at one end
    • S. Cox and E. Zuazua, The rate at which energy decays in a string damped at one end, Indiana Univ. Math. J. 44 (1995), 545-573.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 545-573
    • Cox, S.1    Zuazua, E.2
  • 9
    • 0033539420 scopus 로고    scopus 로고
    • Spectral sequences for quadratic pencils and the inverse spectral problem for the damped wave equation
    • P. Freitas, Spectral sequences for quadratic pencils and the inverse spectral problem for the damped wave equation, J. Math. Pures Appl. 78 (1999), 965-980.
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 965-980
    • Freitas, P.1
  • 11
    • 0346837496 scopus 로고    scopus 로고
    • On basis properties of a part of eigenfunctions of the problem of vibrations of a smooth inhomogeneous string damped at the midpoint
    • Perpignan, France (CD-ROM)
    • A.M. Gomilko and V.N. Pivovarchik, On basis properties of a part of eigenfunctions of the problem of vibrations of a smooth inhomogeneous string damped at the midpoint, in: Proc. MTNS-2000, Perpignan, France (CD-ROM).
    • Proc. MTNS-2000
    • Gomilko, A.M.1    Pivovarchik, V.N.2
  • 12
    • 0011640338 scopus 로고    scopus 로고
    • Spectral analysis of the Regge problem with parameters
    • in Russian
    • G.M. Gubreev and V.N. Pivovarchik, Spectral analysis of the Regge problem with parameters, Funktsional. Anal. i Prilozhen. 31(1) (1997), 70-74 (in Russian); Translation in: Functional Anal. Appl. 31(1), 54-57.
    • (1997) Funktsional. Anal. i Prilozhen. , vol.31 , Issue.1 , pp. 70-74
    • Gubreev, G.M.1    Pivovarchik, V.N.2
  • 13
    • 0011640338 scopus 로고    scopus 로고
    • G.M. Gubreev and V.N. Pivovarchik, Spectral analysis of the Regge problem with parameters, Funktsional. Anal. i Prilozhen. 31(1) (1997), 70-74 (in Russian); Translation in: Functional Anal. Appl. 31(1), 54-57.
    • Functional Anal. Appl. , vol.31 , Issue.1 , pp. 54-57
  • 14
    • 84990628126 scopus 로고
    • Discontinuous inverse eigenvalue problems
    • O. Hald, Discontinuous inverse eigenvalue problems, Comm. Pure Appl. Math. 37 (1984), 537-577.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 537-577
    • Hald, O.1
  • 16
    • 0000078862 scopus 로고
    • Unconditional bases of exponentials and generating kernels
    • S.V. Hruscev, N.K. Nikolskii and B.S. Pavlov, Unconditional bases of exponentials and generating kernels, in: Lecture Notes in Math., Vol. 864, 1981, pp. 214-335.
    • (1981) Lecture Notes in Math. , vol.864 , pp. 214-335
    • Hruscev, S.V.1    Nikolskii, N.K.2    Pavlov, B.S.3
  • 17
    • 36749113404 scopus 로고
    • Inverse scattering problems in absorbing media
    • M. Jaulent, Inverse scattering problems in absorbing media, J. Math. Phys. 17(7) (1976), 1351-1360.
    • (1976) J. Math. Phys. , vol.17 , Issue.7 , pp. 1351-1360
    • Jaulent, M.1
  • 18
    • 0142164611 scopus 로고
    • On double completeness of the set of eigen- and associated functions of Regge problem
    • in Russian
    • B.M. Kogan, On double completeness of the set of eigen- and associated functions of Regge problem, Functional Anal. Appl. 5(3) (1971), 70-74 (in Russian).
    • (1971) Functional Anal. Appl. , vol.5 , Issue.3 , pp. 70-74
    • Kogan, B.M.1
  • 19
    • 0011636883 scopus 로고
    • On double expansion into series of eigenfunctions of a nonself-adjoint boundary problem
    • in Russian
    • A.O. Kravitskii, On double expansion into series of eigenfunctions of a nonself-adjoint boundary problem, Differentsialnye Uravneniya 4(1) (1968), 165-177 (in Russian).
    • (1968) Differentsialnye Uravneniya , vol.4 , Issue.1 , pp. 165-177
    • Kravitskii, A.O.1
  • 20
    • 0039614510 scopus 로고
    • On some mathematical principles in the linear theory of damped oscillations of continua I, II
    • M.G. Krein and H. Langer, On some mathematical principles in the linear theory of damped oscillations of continua I, II, Integral Equations Operator Theory 1 (1978), 364-399, 539-566.
    • (1978) Integral Equations Operator Theory , vol.1 , pp. 364-399
    • Krein, M.G.1    Langer, H.2
  • 21
    • 0011635893 scopus 로고
    • On some spectral properties of an inhomogeneous string with dissipative boundary condition
    • in Russian
    • M.G. Krein and A.A. Nudelman, On some spectral properties of an inhomogeneous string with dissipative boundary condition, J. Operator Theory 22 (1989), 369-395 (in Russian).
    • (1989) J. Operator Theory , vol.22 , pp. 369-395
    • Krein, M.G.1    Nudelman, A.A.2
  • 22
  • 24
    • 0007344246 scopus 로고
    • On small perturbations of sets of roots of sinus-type functions
    • in Russian
    • B.J. Levin and I.V. Ostrovskii, On small perturbations of sets of roots of sinus-type functions, Izv. Akad. Nauk USSR Ser. Math. 43 (1979), 87-110 (in Russian).
    • (1979) Izv. Akad. Nauk USSR Ser. Math. , vol.43 , pp. 87-110
    • Levin, B.J.1    Ostrovskii, I.V.2
  • 27
    • 0346206995 scopus 로고    scopus 로고
    • A particular case of the inverse problem for the Sturm-Liouville equation with parameter-dependent potential
    • V.N. Pivovarchik, A particular case of the inverse problem for the Sturm-Liouville equation with parameter-dependent potential, in: Operator Theory Adv. Appl., Vol. 108, 1999, pp. 335-341.
    • (1999) Operator Theory Adv. Appl. , vol.108 , pp. 335-341
    • Pivovarchik, V.N.1
  • 28
    • 0007325010 scopus 로고    scopus 로고
    • An inverse Sturm-Liouville problem by three spectra
    • V.N. Pivovarchik, An inverse Sturm-Liouville problem by three spectra, Integral Equations Operator Theory 34(2) (1999), 234-243.
    • (1999) Integral Equations Operator Theory , vol.34 , Issue.2 , pp. 234-243
    • Pivovarchik, V.N.1
  • 29
    • 84881111986 scopus 로고    scopus 로고
    • Inverse problem for a smooth string with damping at one end
    • V.N. Pivovarchik, Inverse problem for a smooth string with damping at one end, J. Operator Theory 38(2) (1997), 243-263.
    • (1997) J. Operator Theory , vol.38 , Issue.2 , pp. 243-263
    • Pivovarchik, V.N.1
  • 30
    • 51249193285 scopus 로고
    • Construction of potential from resonances
    • T. Regge, Construction of potential from resonances, Nuovo Cimento 9(3, 5) (1958), 491-503, 671-679.
    • (1958) Nuovo Cimento , vol.9 , Issue.3-5 , pp. 491-503
    • Regge, T.1
  • 32
    • 0142195455 scopus 로고
    • Asymptotics of Jost-functions and eigenvalues of Regge problem
    • in Russian
    • A.G. Sergeev, Asymptotics of Jost-functions and eigenvalues of Regge problem, Differentsialnye Uravneniya 8(5) (1972), 925-927 (in Russian).
    • (1972) Differentsialnye Uravneniya , vol.8 , Issue.5 , pp. 925-927
    • Sergeev, A.G.1
  • 33
    • 0000537098 scopus 로고    scopus 로고
    • Basis property of eigenfunctions of nonselfadjoint operator pencil generated by the equation of nonhomogeneous damped string
    • M.A. Shubov, Basis property of eigenfunctions of nonselfadjoint operator pencil generated by the equation of nonhomogeneous damped string, Integral Equations Operator Theory 25 (1996), 289-328.
    • (1996) Integral Equations Operator Theory , vol.25 , pp. 289-328
    • Shubov, M.A.1
  • 34
    • 0003008183 scopus 로고
    • Inverse eigenvalue problem for a vibration of a string with viscous drag
    • M. Yamamoto, Inverse eigenvalue problem for a vibration of a string with viscous drag, J. Math. Anal. Appl. 152 (1990), 20-34.
    • (1990) J. Math. Anal. Appl. , vol.152 , pp. 20-34
    • Yamamoto, M.1


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