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Volumn 33, Issue 1 A, 2008, Pages 123-136

The basis property of sturm-liouville problems with boundary conditions depending quadratically on the eigenparameter

Author keywords

Basis; Completeness; Eigenparameter dependent boundary conditions; Minimal system; Quadratically close systems; Sturm Liouville

Indexed keywords


EID: 49549095310     PISSN: 2193567X     EISSN: 21914281     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (23)
  • 1
    • 22944435884 scopus 로고    scopus 로고
    • Sturm-Liouville Problems with Boundary Conditions Depending Quadratically on the Eigenparameter
    • W. J. Code and P. J. Browne, "Sturm-Liouville Problems with Boundary Conditions Depending Quadratically on the Eigenparameter", J. Math. Anal. Appl. 309 (2005), pp. 729-742.
    • (2005) J. Math. Anal. Appl , vol.309 , pp. 729-742
    • Code, W.J.1    Browne, P.J.2
  • 2
    • 22944471251 scopus 로고    scopus 로고
    • Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions
    • MSc thesis, University of Saskatchewan
    • W. J. Code, "Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions", MSc thesis, University of Saskatchewan, 2003.
    • (2003)
    • Code, W.J.1
  • 3
    • 1442331952 scopus 로고    scopus 로고
    • Equivalence of Inverse Sturm-Liouville Problems with Boundary Conditions Rationally Dependent on the Eigenparameter
    • P. A. Binding, P. J. Browne, and B. A. Watson, "Equivalence of Inverse Sturm-Liouville Problems with Boundary Conditions Rationally Dependent on the Eigenparameter", J. Math. Anal. Appl. 291(2004), pp. 246-261.
    • (2004) J. Math. Anal. Appl , vol.291 , pp. 246-261
    • Binding, P.A.1    Browne, P.J.2    Watson, B.A.3
  • 4
    • 49549122041 scopus 로고    scopus 로고
    • The Basis Properties of Sturm-Liouville Boundary Value Problem with a Boundary Condition Depending Quadratically on the Spectral Parameter
    • in Russian
    • N. B. Kerimov and Y. N. Aliyev, "The Basis Properties of Sturm-Liouville Boundary Value Problem with a Boundary Condition Depending Quadratically on the Spectral Parameter", Modern Problems of the Theory of Functions and Applications: 13th Saratov Winter School, 2006, pp. 85-86 (in Russian).
    • (2006) Modern Problems of the Theory of Functions and Applications: 13th Saratov Winter School , pp. 85-86
    • Kerimov, N.B.1    Aliyev, Y.N.2
  • 5
    • 33746230106 scopus 로고    scopus 로고
    • On the Basis Properties of One Spectral Problem with a Spectral Parameter in Boundary Conditions
    • in Russian
    • N. B. Kerimov and V. S. Mirzoev, "On the Basis Properties of One Spectral Problem with a Spectral Parameter in Boundary Conditions", Sibirsk. Mat. Zh. 44 (2003), pp. 1041-1045 (in Russian);
    • (2003) Sibirsk. Mat. Zh , vol.44 , pp. 1041-1045
    • Kerimov, N.B.1    Mirzoev, V.S.2
  • 7
    • 49549083500 scopus 로고    scopus 로고
    • p (1 < p < ∞) of the System of Eigenfunctions of One Boundary Value Problem, I, II, Proc. of Institute of Math, and Mech. of NAS of Azerbaijan, 22 (2005), pp. 53-64; 23 (2005), pp. 65-76.
    • p (1 < p < ∞) of the System of Eigenfunctions of One Boundary Value Problem, I, II", Proc. of Institute of Math, and Mech. of NAS of Azerbaijan, 22 (2005), pp. 53-64; 23 (2005), pp. 65-76.
  • 8
    • 33748777682 scopus 로고    scopus 로고
    • p of the Boundary Value Problem Rationally Dependent on the Eigenparameter
    • p of the Boundary Value Problem Rationally Dependent on the Eigenparameter", Studia Math., 174(2)(2006), pp. 201-212.
    • (2006) Studia Math , vol.174 , Issue.2 , pp. 201-212
    • Kerimov, N.B.1    Aliyev, Y.N.2
  • 9
    • 0036427380 scopus 로고    scopus 로고
    • On the Singularities of the Root Space of One Spectral Problem with a Spectral Parameter in the Boundary Condition
    • in Russian
    • E. I. Moiseev and N. Yu. Kapustin, "On the Singularities of the Root Space of One Spectral Problem with a Spectral Parameter in the Boundary Condition", Dokl. Akad. Nauk, 385(1) (2002), pp. 20-24 (in Russian);
    • (2002) Dokl. Akad. Nauk , vol.385 , Issue.1 , pp. 20-24
    • Moiseev, E.I.1    Kapustin, N.Y.2
  • 11
    • 0040940885 scopus 로고
    • Sharp Estimates of Regular Solutions of the One-Dimensional Schrödinger Equation with a Spectral Parameter
    • in Russian
    • V. V. Tikhomirov, "Sharp Estimates of Regular Solutions of the One-Dimensional Schrödinger Equation with a Spectral Parameter", Dokl. Akad. Nauk SSSR, 273(4) (1983), pp. 807-810 (in Russian);
    • (1983) Dokl. Akad. Nauk SSSR , vol.273 , Issue.4 , pp. 807-810
    • Tikhomirov, V.V.1
  • 13
    • 0001365622 scopus 로고
    • Operator Treatment of Boundary Problems with Spectral Parameter Entering via Polynomials in the Boundary Conditions
    • E. M. Russakovskii, "Operator Treatment of Boundary Problems with Spectral Parameter Entering via Polynomials in the Boundary Conditions", Functional Anal. Appl. 9 (1975), pp. 358-359.
    • (1975) Functional Anal. Appl , vol.9 , pp. 358-359
    • Russakovskii, E.M.1
  • 14
    • 49549102665 scopus 로고
    • Operator Treatment of a Boundary-Value Problem with the Spectral Parameter Appearing Rationally in the Boundary Conditions
    • E. M. Russakovskii, "Operator Treatment of a Boundary-Value Problem with the Spectral Parameter Appearing Rationally in the Boundary Conditions", Theory of Functions, Functional Analysis and its Applications, 30 (1978) pp. 120-128.
    • (1978) Theory of Functions, Functional Analysis and its Applications , vol.30 , pp. 120-128
    • Russakovskii, E.M.1
  • 16
    • 49549118027 scopus 로고
    • p-Convergence of Eigenfunction Expansions
    • p-Convergence of Eigenfunction Expansions", Quart. J. Math. Oxford, 7 (1956), pp. 24-38.
    • (1956) Quart. J. Math. Oxford , vol.7 , pp. 24-38
    • Rutowitz, D.1
  • 19
    • 49549118028 scopus 로고    scopus 로고
    • E. L. Ince, Ordinary Differential Equations. New York: Dover, 1956; Russian transl. of 1st ed., Kharkov: Gonti-Nktp-Dntvu, 1939.
    • E. L. Ince, Ordinary Differential Equations. New York: Dover, 1956; Russian transl. of 1st ed., Kharkov: Gonti-Nktp-Dntvu, 1939.
  • 20
    • 49549124491 scopus 로고    scopus 로고
    • M. A. Naimark, Linear Differential Operators, 2nd edn. Moscow, 1969 (in Russian); English transl, of 1st ed., Parts I, II, New York: Ungar, 1967, 1968.
    • M. A. Naimark, Linear Differential Operators, 2nd edn. Moscow, 1969 (in Russian); English transl, of 1st ed., Parts I, II, New York: Ungar, 1967, 1968.
  • 22
    • 0012898432 scopus 로고
    • On the Basis Property of Systems of Sines and Cosines
    • in Russian
    • E. I. Moiseev, "On the Basis Property of Systems of Sines and Cosines", Dokl. Akad. Nauk SSSR, 275(4)(1984), pp. 794-798 (in Russian).
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , Issue.4 , pp. 794-798
    • Moiseev, E.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.