메뉴 건너뛰기




Volumn 26, Issue 4, 2003, Pages 349-357

A hierarchy of Sturm-Liouville problems

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; AXLES; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; OSCILLATIONS; POLES AND ZEROS;

EID: 0037430635     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.358     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 0013430410 scopus 로고
    • Memoire sur la maniere d'exprimer les functions par des series periodiques
    • Poisson SD. Memoire sur la maniere d'exprimer les functions par des series periodiques. Journal of Ecole Polytechnique 1820; 18:417-489.
    • (1820) Journal of Ecole Polytechnique , vol.18 , pp. 417-489
    • Poisson, S.D.1
  • 3
    • 0003904192 scopus 로고
    • Eigenwertaufgaben mit Technischen Anwendungen
    • Akademiya Verlag Leipzig
    • Collatz L. Eigenwertaufgaben mit Technischen Anwendungen. Akademiya Verlag Leipzig, 1963.
    • (1963)
    • Collatz, L.1
  • 5
    • 0013430411 scopus 로고
    • Dover: New York
    • Prescott J. Dover: New York, 1961.
    • (1961)
    • Prescott, J.1
  • 8
    • 0003299184 scopus 로고
    • A problem in diffusion or in the flow of heat for a solid in contact with a fluid
    • Langer RE. A problem in diffusion or in the flow of heat for a solid in contact with a fluid. Tohoku Mathematical Journal 1932; 35:360-375.
    • (1932) Tohoku Mathematical Journal , vol.35 , pp. 360-375
    • Langer, R.E.1
  • 10
  • 11
    • 0013378112 scopus 로고
    • Solutions to a problem in diffusion employing a non-orthogonal sine series
    • Peek Jr RL. Solutions to a problem in diffusion employing a non-orthogonal sine series. Annals of Mathematics 1929; 30:265-269.
    • (1929) Annals of Mathematics , vol.30 , pp. 265-269
    • Peek R.L., Jr.1
  • 12
    • 84971166919 scopus 로고
    • Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
    • Fulton C. Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proceedings of Royal Society of Edinburgh 1977; 77A:293-308.
    • (1977) Proceedings of Royal Society of Edinburgh , vol.77 A , pp. 293-308
    • Fulton, C.1
  • 13
    • 84971128441 scopus 로고    scopus 로고
    • Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
    • Fulton C. Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions. Proceedings of Royal Society of Edinburgh 1980; 87A: 1-34.
    • Proceedings of Royal Society of Edinburgh 1980 , vol.87 A , pp. 1-34
    • Fulton, C.1
  • 14
    • 34250440396 scopus 로고
    • Regular eigenvalue problems with eigenvalue parameter in the boundary conditions
    • Walter J. Regular eigenvalue problems with eigenvalue parameter in the boundary conditions. Mathematische Zeischrift 1973; 133:301-312.
    • (1973) Mathematische Zeischrift , vol.133 , pp. 301-312
    • Walter, J.1
  • 18
    • 0036858855 scopus 로고    scopus 로고
    • Sturnm-Liouville problems with boundary conditions rationally dependent on the eigenparameter II
    • to appear
    • Binding PA., Browne PJ. Sturnm-Liouville problems with boundary conditions rationally dependent on the eigenparameter II, Journal of Computational and Applied Mathematics, to appear.
    • Journal of Computational and Applied Mathematics
    • Binding, P.A.1    Browne, P.J.2
  • 19
    • 0002218576 scopus 로고
    • On Sturm-Liouville problems with the square root of the eigenvalue parameter contained in the boundary conditions
    • Benedek AI., Panzone R. On Sturm-Liouville problems with the square root of the eigenvalue parameter contained in the boundary conditions. Notas de Algebra y Analysis. 1981; 10:1-62.
    • (1981) Notas de Algebra y Analysis , vol.10 , pp. 1-62
    • Benedek, A.I.1    Panzone, R.2
  • 22
    • 84971109156 scopus 로고    scopus 로고
    • Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter
    • Dijksma A. Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter. Proceedings of Royal Society of Edinburgh 1980; 86A:1-27.
    • Proceedings of Royal Society of Edinburgh 1980 , vol.86 A , pp. 1-27
    • Dijksma, A.1
  • 23
    • 0001365622 scopus 로고
    • Operator treatment of boundary problems with spectral parameters entering va polynomials in the boundary conditions
    • Russakovskii EM. Operator treatment of boundary problems with spectral parameters entering va polynomials in the boundary conditions. Functional Analysis and its Applications 1975; 9:358-359.
    • (1975) Functional Analysis and Its Applications , vol.9 , pp. 358-359
    • Russakovskii, E.M.1
  • 25
    • 0001116357 scopus 로고
    • Determination of a differential equation from two of its spectra
    • Levitan BM., Gasymov MG. Determination of a differential equation from two of its spectra. Russian Mathematical Surveys 1964; 19:1-63.
    • (1964) Russian Mathematical Surveys , vol.19 , pp. 1-63
    • Levitan, B.M.1    Gasymov, M.G.2
  • 26
    • 0001859367 scopus 로고
    • Some questions in the theory of one-dimensional linear differential operators of the second order, Part I
    • Marchenko VA. Some questions in the theory of one-dimensional linear differential operators of the second order, Part I. American Mathematical Society Translations 1973; 101:1-104.
    • (1973) American Mathematical Society Translations , vol.101 , pp. 1-104
    • Marchenko, V.A.1
  • 27
    • 84968515990 scopus 로고
    • Reconstruction techniques for classical inverse Sturm-Liouville problems
    • Rundell W, Sacks PE. Reconstruction techniques for classical inverse Sturm-Liouville problems. Mathematics of Computation 1992; 58:161-183.
    • (1992) Mathematics of Computation , vol.58 , pp. 161-183
    • Rundell, W.1    Sacks, P.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.