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Volumn 59, Issue 1, 2007, Pages 12-27

FD-method for an eigenvalue problem with nonlinear potential

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EID: 34250323519     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1007/s11253-007-0002-7     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 0043158349 scopus 로고
    • About functional-discrete method of arbitrary order of accuracy for solving Sturm-Liouville problem with piecewise smooth coefficients
    • V. L. Makarov, "About functional-discrete method of arbitrary order of accuracy for solving Sturm-Liouville problem with piecewise smooth coefficients," Soviet DAN SSSR, 320, No. 1, 34-39 (1991).
    • (1991) Soviet DAN SSSR , vol.320 , Issue.1 , pp. 34-39
    • Makarov, V.L.1
  • 2
    • 34250331664 scopus 로고    scopus 로고
    • FD-method: The exponential rate of convergence
    • V. L. Makarov, "FD-method: the exponential rate of convergence," J. Math. Sci., 104, No. 6, 1648-1653 (1997).
    • (1997) J. Math. Sci , vol.104 , Issue.6 , pp. 1648-1653
    • Makarov, V.L.1
  • 3
    • 33746574001 scopus 로고    scopus 로고
    • FD-method for Sturm-Liouville problems. Exponential rate of convergence
    • V. L. Makarov and O. L. Ukhanev, "FD-method for Sturm-Liouville problems. Exponential rate of convergence," Appl. Math. Inform., 2, 1-19 (1997).
    • (1997) Appl. Math. Inform , vol.2 , pp. 1-19
    • Makarov, V.L.1    Ukhanev, O.L.2
  • 4
    • 27144559690 scopus 로고    scopus 로고
    • Sufficient conditions for the convergence of non-classical asymptotic expansions for Sturm-Liouville problems with periodic conditions
    • B. I. Bandyrskii, V. L. Makarov, and O. L. Ukhanev, "Sufficient conditions for the convergence of non-classical asymptotic expansions for Sturm-Liouville problems with periodic conditions," Different. Equat., 35, No. 3, 369-381 (1999).
    • (1999) Different. Equat , vol.35 , Issue.3 , pp. 369-381
    • Bandyrskii, B.I.1    Makarov, V.L.2    Ukhanev, O.L.3
  • 5
    • 33747234713 scopus 로고    scopus 로고
    • Sufficient conditions for eigenvalues of the operator with Ionkin-Samarskii conditions to be real-valued
    • B. I. Bandyrskii and V. L. Makarov, "Sufficient conditions for eigenvalues of the operator with Ionkin-Samarskii conditions to be real-valued," Comput. Math. Math. Phys., 40, No. 12, 1715-1728 (2000).
    • (2000) Comput. Math. Math. Phys , vol.40 , Issue.12 , pp. 1715-1728
    • Bandyrskii, B.I.1    Makarov, V.L.2
  • 6
    • 33746506132 scopus 로고    scopus 로고
    • A functional-discrete method for solving Sturm-Liouville problems with an eigenvalue parameter in the boundary conditions
    • B. I. Bandyrskii, I. I. Lazurchak, and V. L. Makarov, "A functional-discrete method for solving Sturm-Liouville problems with an eigenvalue parameter in the boundary conditions," Comput. Math. Math. Phys., 42, No. 5, 646-659 (2002).
    • (2002) Comput. Math. Math. Phys , vol.42 , Issue.5 , pp. 646-659
    • Bandyrskii, B.I.1    Lazurchak, I.I.2    Makarov, V.L.3
  • 8
    • 35348881485 scopus 로고    scopus 로고
    • Functional-discrete method with a high order of accuracy for the eigenvalue transmission problems
    • B. I. Bandyrskii, V. L. Makarov, and N. O. Rossokhata, "Functional-discrete method with a high order of accuracy for the eigenvalue transmission problems," Comput. Meth. Appl. Math., 4, No. 3, 324-349 (2004).
    • (2004) Comput. Meth. Appl. Math , vol.4 , Issue.3 , pp. 324-349
    • Bandyrskii, B.I.1    Makarov, V.L.2    Rossokhata, N.O.3
  • 9
    • 34250351967 scopus 로고    scopus 로고
    • Functional-discrete method for an eigenvalue transmission problem with periodic boundary conditions
    • B. I. Bandyrskii, V. L. Makarov, and N. O. Rossokhata, "Functional-discrete method for an eigenvalue transmission problem with periodic boundary conditions," Comput. Meth. Appl. Math., 5, No. 2, 201-220 (2005).
    • (2005) Comput. Meth. Appl. Math , vol.5 , Issue.2 , pp. 201-220
    • Bandyrskii, B.I.1    Makarov, V.L.2    Rossokhata, N.O.3
  • 12
    • 52849137960 scopus 로고    scopus 로고
    • Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems
    • P. E. Zhidkov, "Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems," El. J. Different. Equal., No. 28, 1-13 (2000).
    • (2000) El. J. Different. Equal , Issue.28 , pp. 1-13
    • Zhidkov, P.E.1
  • 13
    • 34250345731 scopus 로고    scopus 로고
    • Precise spectral asymptotics for nonlinear Sturm-Liouville problems
    • T. Shibata, "Precise spectral asymptotics for nonlinear Sturm-Liouville problems," J. Different. Equat., 180, No. 3, 1-16 (2005).
    • (2005) J. Different. Equat , vol.180 , Issue.3 , pp. 1-16
    • Shibata, T.1
  • 14
    • 0035732641 scopus 로고    scopus 로고
    • A new formulation of Adomian method. Convergence result
    • 30
    • K. Abbaoui, M. J. Pujol, Y. Cherruault, N. Himoun, and P. Grimalat, "A new formulation of Adomian method. Convergence result," Kybernetes, 30, No. 39/10, 1183-1191 (2001).
    • (2001) Kybernetes , vol.39 , Issue.10 , pp. 1183-1191
    • Abbaoui, K.1    Pujol, M.J.2    Cherruault, Y.3    Himoun, N.4    Grimalat, P.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.