메뉴 건너뛰기




Volumn 174, Issue 2, 2006, Pages 201-212

The basis property in L p of the boundary value problem rationally dependent on the eigenparameter

Author keywords

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

Indexed keywords


EID: 33748777682     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm174-2-6     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 0036803328 scopus 로고    scopus 로고
    • Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, I
    • P. A. Binding, P. J. Browne and B. A. Watson, Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, I, Proc. Edinb. Math. Soc. 45 (2002), 631-645.
    • (2002) Proc. Edinb. Math. Soc. , vol.45 , pp. 631-645
    • Binding, P.A.1    Browne, P.J.2    Watson, B.A.3
  • 2
    • 0036858855 scopus 로고    scopus 로고
    • Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, II
    • _, _, _, Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter, II, J. Comput. Appl. Math. 148 (2002), 147-168.
    • (2002) J. Comput. Appl. Math. , vol.148 , pp. 147-168
  • 5
    • 1642466184 scopus 로고    scopus 로고
    • Oscillation properties for the solutions of a non-selfadjoint spectral problem wth a spectral parameter in the boundary conditions
    • in Russian
    • N. Yu. Kapustin, Oscillation properties for the solutions of a non-selfadjoint spectral problem wth a spectral parameter in the boundary conditions, Differentsial'nye Uravneniya 35 (1999), 1024-1027 (in Russian);
    • (1999) Differentsial'nye Uravneniya , vol.35 , pp. 1024-1027
    • Kapustin, N.Yu.1
  • 6
    • 23244431588 scopus 로고    scopus 로고
    • English transi.
    • English transi.: Differential Equations 35 (1999), 1031-1034.
    • (1999) Differential Equations , vol.35 , pp. 1031-1034
  • 7
    • 0011015225 scopus 로고    scopus 로고
    • p of the systems of eigen-functions corresponding to two problems with a spectral parameter in the boundary conditions
    • in Russian
    • p of the systems of eigen-functions corresponding to two problems with a spectral parameter in the boundary conditions, Differentsial'nye Uravneniya 36 (2000), 1357-1360 (in Russian);
    • (2000) Differentsial'nye Uravneniya , vol.36 , pp. 1357-1360
    • Kapustin, N.Yu.1    Moǐseev, E.I.2
  • 8
    • 27244444111 scopus 로고    scopus 로고
    • English transi.
    • English transi.: Differential Equations 36 (2000), 1498-1501.
    • (2000) Differential Equations , vol.36 , pp. 1498-1501
  • 9
    • 0004021698 scopus 로고
    • Nauka, Moscow, (in Russian); English transl., Amer. Math. Soc.
    • B. S. Kashin and A. A. Saakian, Orthogonal Series, Nauka, Moscow, 1984 (in Russian); English transl., Amer. Math. Soc., 1989.
    • (1984) Orthogonal Series
    • Kashin, B.S.1    Saakian, A.A.2
  • 10
    • 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), 1041-1045 (in Russian);
    • (2003) Sibirsk. Mat. Zh. , vol.44 , pp. 1041-1045
    • Kerimov, N.B.1    Mirzoev, V.S.2
  • 11
    • 1642459225 scopus 로고    scopus 로고
    • English transi.
    • English transi.: Siberian Math. J. 44 (2003), 813-816.
    • (2003) Siberian Math. J. , vol.44 , pp. 813-816
  • 12
    • 0141573178 scopus 로고    scopus 로고
    • On the class of boundary value problems for the Sturm-Liouville operator
    • in Russian
    • A. S. Makin, On the class of boundary value problems for the Sturm-Liouville operator, Differentsial'nye Uravneniya 35 (1999), 1058-1066 (in Russian);
    • (1999) Differentsial'nye Uravneniya , vol.35 , pp. 1058-1066
    • Makin, A.S.1
  • 13
    • 27144480788 scopus 로고    scopus 로고
    • English transi.
    • English transi.: Differential Equations 35 (1999), 1067-1076.
    • (1999) Differential Equations , vol.35 , pp. 1067-1076
  • 14
    • 0012898432 scopus 로고
    • On the basis properties of sine and cosine systems
    • in Russian
    • E. I. Moǐseev, On the basis properties of sine and cosine systems, Dokl. Akad. Nauk SSSR 275 (1984), 794-798 (in Russian).
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , pp. 794-798
    • Moǐseev, E.I.1
  • 15
    • 0003458942 scopus 로고
    • GITTL, Moscow, (in Russian); English transl, Frederick Ungar, New York, German transi., Akademie-Verlag, Berlin, 1960
    • M. A. Naimark, Linear Differential Operators, GITTL, Moscow, 1954 (in Russian); English transl, Frederick Ungar, New York, 1967; German transi., Akademie-Verlag, Berlin, 1960.
    • (1954) Linear Differential Operators
    • Naimark, M.A.1
  • 17
    • 84953751498 scopus 로고
    • Cambridge Univ. Press, Cambridge, Russian transl., Mir, Moscow
    • A. Zygmund, Trigonometric Series, Vol. 2, Cambridge Univ. Press, Cambridge, 1959; Russian transl., Mir, Moscow, 1965.
    • (1959) Trigonometric Series , vol.2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.