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Volumn 125, Issue 9, 1997, Pages 2599-2604

Generalized quasilinearization method for a second order ordinary differential equation with dirichlet boundary conditions

Author keywords

Dirichlet problem; Generalized quasilinearization; Quadratic convergence

Indexed keywords


EID: 21944438013     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03976-2     Document Type: Article
Times cited : (73)

References (10)
  • 4
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    • An Extension of the Method of Quasilinearization
    • MR 95d:34021
    • V. Lakshmikantham, An Extension of the Method of Quasilinearization. J. Optimization Theory Appl. 82 (1994), 315-321. MR 95d:34021
    • (1994) J. Optimization Theory Appl. , vol.82 , pp. 315-321
    • Lakshmikantham, V.1
  • 6
    • 0002470530 scopus 로고
    • Generalized Quasilinearization for Nonlinear First Order Differential Equations
    • MR 9Gc:34025
    • V. Lakshmikantham and J. J. Nieto, Generalized Quasilinearization for Nonlinear First Order Differential Equations. Nonlinear Times and Digest 2 (1995), 1-10. MR 9Gc:34025
    • (1995) Nonlinear Times and Digest , vol.2 , pp. 1-10
    • Lakshmikantham, V.1    Nieto, J.J.2
  • 7
    • 0030189195 scopus 로고    scopus 로고
    • Methods of Generalized Quasilinearization for Periodic Boundary Value Problems
    • V. Lakshmikantham, N. Shahzad and J. J. Nieto, Methods of Generalized Quasilinearization for Periodic Boundary Value Problems, Nonlinear Anal. 27 (1996), 143-151. CMP 96:12
    • (1996) Nonlinear Anal. , vol.27 , pp. 143-151
    • Lakshmikantham, V.1    Shahzad, N.2    Nieto, J.J.3
  • 8
    • 0003200505 scopus 로고
    • A Generalized Upper and Lower Solution Method for Nonlinear Second Order Ordinary Differential Equations
    • MR 94c:34033
    • J. J. Nieto and A. Cabada, A Generalized Upper and Lower Solution Method for Nonlinear Second Order Ordinary Differential Equations. J. Applied Math. Stochastic Anal. 5 (1992), 157-166. MR 94c:34033
    • (1992) J. Applied Math. Stochastic Anal. , vol.5 , pp. 157-166
    • Nieto, J.J.1    Cabada, A.2
  • 9
    • 3042982343 scopus 로고
    • Further Generalization of Quasilinearization Method for Boundary Value Problems
    • MR 96b:34013
    • N. Shahzad and S. Sivasundaram, Further Generalization of Quasilinearization Method for Boundary Value Problems, Nonlinear Times and Digest 2 (1995), 59-68. MR 96b:34013
    • (1995) Nonlinear Times and Digest , vol.2 , pp. 59-68
    • Shahzad, N.1    Sivasundaram, S.2
  • 10
    • 0002415494 scopus 로고
    • Improved Generalized Quasilinearization Method for Second Order Boundary Value Problems
    • MR 95i:34018
    • N. Shahzad and A. S. Vatsala, Improved Generalized Quasilinearization Method for Second Order Boundary Value Problems. Dynam. Systems Appl. 4 (1995), 79-85. MR 95i:34018
    • (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.