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Volumn 207, Issue 1, 1997, Pages 206-219

Generalized quasilinearization method and rapid convergence for first order initial value problems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; LINEARIZATION; PROBLEM SOLVING;

EID: 0031081856     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5280     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0000828809 scopus 로고
    • Functional equations in the theory of dynamic programming. II. Nonlinear differential equations
    • 1. R. Bellman, Functional equations in the theory of dynamic programming. II. Nonlinear differential equations, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 482-483.
    • (1955) Proc. Nat. Acad. Sci. U.S.A. , vol.41 , pp. 482-483
    • Bellman, R.1
  • 2
    • 0000828808 scopus 로고
    • Functional equations in the theory of dynamic programming. V. Positivity and quasilinearity
    • 2. R. Bellman, Functional equations in the theory of dynamic programming. V. Positivity and quasilinearity, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 743-746.
    • (1955) Proc. Nat. Acad. Sci. U.S.A. , vol.41 , pp. 743-746
    • Bellman, R.1
  • 5
    • 0000644280 scopus 로고
    • On nonlinear differential equations, the maximum operation, and monotone convergence
    • 5. R. Kalaba, On nonlinear differential equations, the maximum operation, and monotone convergence, J. Math. Mech. 8 (1959), 519-574.
    • (1959) J. Math. Mech. , vol.8 , pp. 519-574
    • Kalaba, R.1
  • 7
    • 0030189041 scopus 로고    scopus 로고
    • Further improvement of generalized quasilinearization method
    • 7. V. Lakshmikantham, Further improvement of generalized quasilinearization method, Nonlinear Anal. 27 (1996), 223-227.
    • (1996) Nonlinear Anal. , vol.27 , pp. 223-227
    • Lakshmikantham, V.1
  • 8
    • 0001675860 scopus 로고
    • Another extension of the method of quasilinearization
    • 8. V. Lakshmikantham and S. Koksal, Another extension of the method of quasilinearization, J. Math. Anal. Appl. 185 (1994), 545-569.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 545-569
    • Lakshmikantham, V.1    Koksal, S.2
  • 9
    • 58149321303 scopus 로고
    • Improved quasilinearization (GQL) method
    • 9. V. Lakshmikantham, S. Leela, and F. A. McRae, Improved quasilinearization (GQL) 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
  • 10
    • 0002470530 scopus 로고
    • Generalized quasilinearization for nonlinear first order ordinary differential equations
    • 10. V. Lakshmikantham and J. J. Nieto, Generalized quasilinearization for nonlinear first order ordinary differential equations, Nonlinear Times Digest 2 (1995), 1-9.
    • (1995) Nonlinear Times Digest , vol.2 , pp. 1-9
    • Lakshmikantham, V.1    Nieto, J.J.2
  • 11
    • 53249102987 scopus 로고
    • Further generalization of generalized quasilinearization method
    • 11. V. Lakshmikantham and N. Shahzad, Further generalization of generalized quasilinearization method, J. Appl. Math. Stochastic Anal. 1 (1994), 545-552.
    • (1994) J. Appl. Math. Stochastic Anal. , vol.1 , pp. 545-552
    • Lakshmikantham, V.1    Shahzad, N.2
  • 12
    • 85030019902 scopus 로고    scopus 로고
    • Extension of the method of quasilinearization and rapid convergence
    • in press
    • 12. R. N. Mohapatra, K. Vajravelu, and Y. Yin, Extension of the method of quasilinearization and rapid convergence, J. Optim. Theory Appl., in press.
    • J. Optim. Theory Appl.
    • Mohapatra, R.N.1    Vajravelu, K.2    Yin, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.