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Volumn 257, Issue 2, 2001, Pages 356-363

The Bellman-Kalaba-Lakshmikantham Quasilinearization Method for Neumann Problems

Author keywords

Neumann problem; Quadratic convergence; Quasilinearization

Indexed keywords


EID: 0041821709     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7352     Document Type: Article
Times cited : (37)

References (14)
  • 2
    • 0032165472 scopus 로고    scopus 로고
    • A quadratic monotone iteration scheme for two-point boundary value problems, for ordinary differential equations
    • Eloe P. W., Zhang Y. A quadratic monotone iteration scheme for two-point boundary value problems, for ordinary differential equations. Nonlinear Anal. 33:1998;443-453.
    • (1998) Nonlinear Anal. , vol.33 , pp. 443-453
    • Eloe, P.W.1    Zhang, Y.2
  • 4
    • 0028485344 scopus 로고
    • An extension of the method of quasilinearization
    • Lakshmikantham V. An extension of the method of quasilinearization. J. Optim. Theory Appl. 82:1994;315-321.
    • (1994) J. Optim. Theory Appl. , vol.82 , pp. 315-321
    • Lakshmikantham, V.1
  • 5
    • 0042930474 scopus 로고    scopus 로고
    • Further improvement of generalized quasilinearization
    • Lakshmikantham V. Further improvement of generalized quasilinearization. Nonlinear Anal. 27:1996;315-321.
    • (1996) Nonlinear Anal. , vol.27 , pp. 315-321
    • Lakshmikantham, V.1
  • 6
    • 58149321303 scopus 로고
    • Improved generalized quasilinearization method
    • Lakshmikantham V., Leela S., McRae F. A. Improved generalized quasilinearization method. Nonlinear Anal. 24:1995;1627-1637.
    • (1995) Nonlinear Anal. , vol.24 , pp. 1627-1637
    • Lakshmikantham, V.1    Leela, S.2    McRae, F.A.3
  • 7
    • 53249102987 scopus 로고
    • Further generalization of generalized quasilinearization method
    • Lakshmikantham V., Shahzad N. Further generalization of generalized quasilinearization method. J. Appl. Math. Stochastic Anal. 7:1994;545-552.
    • (1994) J. Appl. Math. Stochastic Anal. , vol.7 , pp. 545-552
    • Lakshmikantham, V.1    Shahzad, N.2
  • 8
    • 0030189195 scopus 로고    scopus 로고
    • Method of generalized quasilinearization for periodic boundary value problems
    • Lakshmikantham V., Shahzad N., Nieto J. J. Method of generalized quasilinearization for periodic boundary value problems. Nonlinear Anal. 27:1996;143-151.
    • (1996) Nonlinear Anal. , vol.27 , pp. 143-151
    • Lakshmikantham, V.1    Shahzad, N.2    Nieto, J.J.3
  • 10
    • 21944438013 scopus 로고    scopus 로고
    • Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
    • Nieto J. J. Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions. Proc. Amer. Math. Soc. 125:1997;2599-2604.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 2599-2604
    • Nieto, J.J.1
  • 11
    • 0003200505 scopus 로고
    • A generalized upper and lower solutions method for nonlinear second order ordinary differential equations
    • Nieto J. J., Cabada A. A generalized upper and lower solutions method for nonlinear second order ordinary differential equations. J. Appl. Stochastic Anal. 5:1992;157-166.
    • (1992) J. Appl. Stochastic Anal. , vol.5 , pp. 157-166
    • Nieto, J.J.1    Cabada, A.2
  • 12
    • 0041928741 scopus 로고
    • Extended quasilinearization method for boundary value problems
    • Shahzad N., Sivasundaram S. Extended quasilinearization method for boundary value problems. Nonlinear World. 2:1995;311-319.
    • (1995) Nonlinear World , vol.2 , pp. 311-319
    • Shahzad, N.1    Sivasundaram, S.2
  • 13
    • 0002420985 scopus 로고
    • An extension of the method of generalized quasilinearization for second order boundary value problems
    • Shahzad N., Vatsala A. S. An extension of the method of generalized quasilinearization for second order boundary value problems. Appl. Anal. 58:1995;77-83.
    • (1995) Appl. Anal. , vol.58 , pp. 77-83
    • Shahzad, N.1    Vatsala, A.S.2
  • 14
    • 0002415494 scopus 로고
    • Improved generalized quasilinearization for second order boundary value problems
    • Shahzad N., Vatsala A. S. Improved generalized quasilinearization for second order boundary value problems. Dynam. Systems Appl. 4:1995;79-85.
    • (1995) Dynam. Systems Appl. , vol.4 , pp. 79-85
    • Shahzad, N.1    Vatsala, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.