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Volumn 69, Issue 3-4, 1998, Pages 233-238

Eigenvalues of Sturm-Liouville problems using fliess series: Eigenvalues of Sturm-Liouville Problems

Author keywords

Eigenvalue problem; Fliess series; Iterated integrals; Sturm Liouville problems

Indexed keywords


EID: 0040709004     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819808840659     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 0039042716 scopus 로고
    • Calculating the Eigenvalues of Ordinary Differential Equations
    • Algazin, S.D., 1995. Calculating the Eigenvalues of Ordinary Differential Equations. Comp. Maths Math. Phys., 35: 477–482.
    • (1995) Comp. Maths Math. Phys. , vol.35 , pp. 477-482
    • Algazin, S.D.1
  • 2
    • 0001586521 scopus 로고
    • Computing Eigenvalues of Singular Sturm-Liouville Problems
    • Basel: Birkhauser Verlag, and,. In
    • Bailey, P.B., Everitt, W.N., and Zettl, A., 1991. “ Computing Eigenvalues of Singular Sturm-Liouville Problems ”. In Results in Mathematics, Vol. 20, Basel: Birkhauser Verlag.
    • (1991) Results in Mathematics , vol.20
    • Bailey, P.B.1    Everitt, W.N.2    Zettl, A.3
  • 4
    • 0040226628 scopus 로고    scopus 로고
    • Eigenvalues of S-L Systmes Using Sampling Theory
    • Boumenir, A., and Chanane, B., 1996. Eigenvalues of S-L Systmes Using Sampling Theory. Applicable Analysis, 62: 323–334.
    • (1996) Applicable Analysis , vol.62 , pp. 323-334
    • Boumenir, A.1    Chanane, B.2
  • 5
    • 84967713725 scopus 로고
    • Integration of paths- a faithful representation of paths by noncommutative formal power series
    • Chen, K.T., 1958. Integration of paths- a faithful representation of paths by noncommutative formal power series. Trans. Amer. Math. Soc., 89: 395–407.
    • (1958) Trans. Amer. Math. Soc. , vol.89 , pp. 395-407
    • Chen, K.T.1
  • 7
    • 0011844970 scopus 로고
    • On the transformation theory of ordinary second order linear symmetric differential expressions
    • Everitt, W.N., 1982. On the transformation theory of ordinary second order linear symmetric differential expressions. Czechoslovak Math. J., 107 (32): 275–305.
    • (1982) Czechoslovak Math. J. , vol.107 , Issue.32 , pp. 275-305
    • Everitt, W.N.1
  • 8
    • 0346455058 scopus 로고
    • Asymptotic Eigenvalues of Sturm-Liouville Systems
    • Fix, G., 1967. Asymptotic Eigenvalues of Sturm-Liouville Systems. J. Math. Anal. and Appls., 19 (32): 519–525.
    • (1967) J. Math. Anal. and Appls. , vol.19 , Issue.32 , pp. 519-525
    • Fix, G.1
  • 10
    • 0020804625 scopus 로고
    • An algebraic approach to nonlinear functional expansions
    • Fliess, M., Lamnabhi, M., and Lamnabhi Lagarrigue, F., 1983. An algebraic approach to nonlinear functional expansions. IEEE CAC-30, 8: 554–570.
    • (1983) IEEE CAC-30 , vol.8 , pp. 554-570
    • Fliess, M.1    Lamnabhi, M.2    Lamnabhi Lagarrigue, F.3
  • 11
    • 0347661138 scopus 로고
    • An Integral Equation Iterative Scheme for Asymptotic Expansions of Spectral Quantities of Regular Sturm-Liouville Equations
    • Fulton, C.T., 1982. An Integral Equation Iterative Scheme for Asymptotic Expansions of Spectral Quantities of Regular Sturm-Liouville Equations. J. of Integral Equations, 4 (2): 163–172.
    • (1982) J. of Integral Equations , vol.4 , Issue.2 , pp. 163-172
    • Fulton, C.T.1
  • 13
    • 0007220298 scopus 로고
    • Numerical Approximation of Eigenvalues of Sturm-Liouville Systems
    • Hargrave, B.A., 1976. Numerical Approximation of Eigenvalues of Sturm-Liouville Systems. J. Computational Phys., 20 (2): 381–396.
    • (1976) J. Computational Phys. , vol.20 , Issue.2 , pp. 381-396
    • Hargrave, B.A.1
  • 14
    • 84980082118 scopus 로고
    • Asymptotic Estimates for the Sturm-Liouville Spectrum
    • Hochstadt, H., 1961. Asymptotic Estimates for the Sturm-Liouville Spectrum. Comm. Pure and Appl. Math., 14 (2): 749–764.
    • (1961) Comm. Pure and Appl. Math. , vol.14 , Issue.2 , pp. 749-764
    • Hochstadt, H.1
  • 16
    • 0030579049 scopus 로고    scopus 로고
    • Eigenvalues of Regular Sturm-Liouville Problems
    • Kong, Q., and Zetti, A., 1996. Eigenvalues of Regular Sturm-Liouville Problems. J. of Differential Eqs., 131: 1–19.
    • (1996) J. of Differential Eqs. , vol.131 , pp. 1-19
    • Kong, Q.1    Zetti, A.2
  • 17
    • 0012535676 scopus 로고
    • Sinc Methods for Quadrature and Differential Equations
    • Lund, J., and Bowers, K.L., 1992. Sinc Methods for Quadrature and Differential Equations. SIAM, 131
    • (1992) SIAM , vol.131
    • Lund, J.1    Bowers, K.L.2
  • 18
    • 0002523173 scopus 로고
    • Automatic solution of Sturm-Liouville problems using the pruess method
    • Marletta, M., and Pryce, J.D., 1992. Automatic solution of Sturm-Liouville problems using the pruess method. J. Computational and Applied Mathematics, 39: 57–78.
    • (1992) J. Computational and Applied Mathematics , vol.39 , pp. 57-78
    • Marletta, M.1    Pryce, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.