메뉴 건너뛰기




Volumn 1, Issue 4, 1999, Pages 319-347

Sturm-Liouville Problems with Coupled Boundary Conditions and Lagrange Interpolation Series

Author keywords

Kramer sampling theorem; Lagrange interpolation; Sturm liouville

Indexed keywords


EID: 0000836713     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022628422429     Document Type: Article
Times cited : (12)

References (26)
  • 1
    • 21344447700 scopus 로고    scopus 로고
    • Regular and singular Sturm-Liouville problems with coupled boundary conditions
    • P. B. Bailey, W. N. Everitt, and A. Zettl, Regular and singular Sturm-Liouville problems with coupled boundary conditions, Proc. Roy. Soc. Edinburgh (A), 126, 505-514 (1996).
    • (1996) Proc. Roy. Soc. Edinburgh (A) , vol.126 , pp. 505-514
    • Bailey, P.B.1    Everitt, W.N.2    Zettl, A.3
  • 2
    • 0003855610 scopus 로고
    • Kramer's sampling theorem in signal analysis and its role in mathematics
    • J. M. Blackledge, ed., Oxford University Press, Oxford
    • P. L. Butzer and G. Nasri-Roudsari, Kramer's sampling theorem in signal analysis and its role in mathematics, in Image Processing: Mathematical Methods and Applications (J. M. Blackledge, ed.), Oxford University Press, Oxford, 1994.
    • (1994) Image Processing: Mathematical Methods and Applications
    • Butzer, P.L.1    Nasri-Roudsari, G.2
  • 3
    • 0028443011 scopus 로고
    • Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems
    • P. L. Butzer and G. Schöttler, Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems, J. Comp. Appl. Math. 51, 159-177 (1994).
    • (1994) J. Comp. Appl. Math. , vol.51 , pp. 159-177
    • Butzer, P.L.1    Schöttler, G.2
  • 5
    • 0000932728 scopus 로고
    • A comparison of the sampling theorems of Kramer and Whittaker
    • L. L. Campbell, A comparison of the sampling theorems of Kramer and Whittaker, J. SIAM, 12, 117-130 (1964).
    • (1964) J. SIAM , vol.12 , pp. 117-130
    • Campbell, L.L.1
  • 8
    • 3042577407 scopus 로고
    • Some remarks on the Titchmarsh-Weyl m-coefficient and associated differential operators
    • Lecture Notes in Pure and Applied Mathematics 152, Marcel Dekker, New York
    • W. N. Everitt, Some remarks on the Titchmarsh-Weyl m-coefficient and associated differential operators, in Differential Equations, Dynamical Systems and Control Science, Lecture Notes in Pure and Applied Mathematics 152, Marcel Dekker, New York, 1994, pp. 33-53.
    • (1994) Differential Equations, Dynamical Systems and Control Science , pp. 33-53
    • Everitt, W.N.1
  • 11
    • 0001580347 scopus 로고    scopus 로고
    • A note on the analytic form of the Kramer sampling theorem
    • W. N. Everitt, G. Nasri-Roudsari, and J. Rehberg, A note on the analytic form of the Kramer sampling theorem. Results Math. 34, 310-319 (1998).
    • (1998) Results Math. , vol.34 , pp. 310-319
    • Everitt, W.N.1    Nasri-Roudsari, G.2    Rehberg, J.3
  • 12
    • 84952145267 scopus 로고
    • On necessary and sufficient conditions for the existence of Carathéodory solutions of ordinary differential equations
    • W. N. Everitt and D. Race, On necessary and sufficient conditions for the existence of Carathéodory solutions of ordinary differential equations, Quaestiones Math. 2, 507-512 (1978).
    • (1978) Quaestiones Math. , vol.2 , pp. 507-512
    • Everitt, W.N.1    Race, D.2
  • 13
    • 0002772914 scopus 로고
    • Sturm-Liouville boundary value problems and Lagrange interpolation series
    • W. N. Everitt, G. Schöttler, and P. L. Butzer, Sturm-Liouville boundary value problems and Lagrange interpolation series, Rend. Math. Appl. 14, 87-126 (1994).
    • (1994) Rend. Math. Appl. , vol.14 , pp. 87-126
    • Everitt, W.N.1    Schöttler, G.2    Butzer, P.L.3
  • 14
    • 0347480563 scopus 로고    scopus 로고
    • Sturm-Liouville problems with an infinite number of interior singularities
    • Lecture Notes in Pure and Applied Mathematics 191, Marcel Dekker, New York
    • W. N. Everitt, C. Shubin, G. Stolz, and A. Zettl, Sturm-Liouville problems with an infinite number of interior singularities, in Spectral Theory and Computational Methods of Sturm-Liouville Problems, Lecture Notes in Pure and Applied Mathematics 191, Marcel Dekker, New York, 1997, pp. 211-249.
    • (1997) Spectral Theory and Computational Methods of Sturm-Liouville Problems , pp. 211-249
    • Everitt, W.N.1    Shubin, C.2    Stolz, G.3    Zettl, A.4
  • 17
    • 33747444473 scopus 로고
    • A generalized sampling theorem
    • H. P. Kramer, A generalized sampling theorem, J. Math. Phys. 38, 68-72 (1959).
    • (1959) J. Math. Phys. , vol.38 , pp. 68-72
    • Kramer, H.P.1
  • 18
  • 19
    • 84963053644 scopus 로고
    • Singular Sturm-Liouville problems: The Friedrichs extension and comparison of eigenvalues
    • H.-D. Niessen and A. Zettl, Singular Sturm-Liouville problems: the Friedrichs extension and comparison of eigenvalues, Proc. Lond. Math. Soc. 64, 545-604 (1992).
    • (1992) Proc. Lond. Math. Soc. , vol.64 , pp. 545-604
    • Niessen, H.-D.1    Zettl, A.2
  • 22
    • 0026141901 scopus 로고
    • On Kramer's sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation
    • A. I. Zayed, On Kramer's sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation, SIAM J, Appl. Math. 51, 575-604 (1991).
    • (1991) SIAM J, Appl. Math. , vol.51 , pp. 575-604
    • Zayed, A.I.1
  • 23
    • 33646654761 scopus 로고
    • A new rôle of Green's function in interpolation and sampling theory
    • A. I. Zayed, A new rôle of Green's function in interpolation and sampling theory, J. Math. Anal. Appl. 175, 222-238 (1993).
    • (1993) J. Math. Anal. Appl. , vol.175 , pp. 222-238
    • Zayed, A.I.1
  • 24
    • 0025449055 scopus 로고
    • On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems
    • A. I. Zayed, G. Hinsen, and P. L. Butzer, On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems, SIAM J. Appl. Math. 50, 893-909 (1990).
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 893-909
    • Zayed, A.I.1    Hinsen, G.2    Butzer, P.L.3
  • 25
    • 0348110671 scopus 로고    scopus 로고
    • personal communication, October
    • A. Zettl, personal communication, October 1997.
    • (1997)
    • Zettl, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.