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Volumn 96, Issue 3, 1998, Pages 667-682

Extension of the method of quasilinearization and rapid convergence

Author keywords

Convergence; Existence; Nonlinear initial value problems; Quasilinearization; Upper and lower solutions

Indexed keywords

CONVERGENCE; EXISTENCE; FIRST ORDER; MONOTONE SEQUENCES; NONLINEAR INITIAL-VALUE PROBLEMS; QUASI LINEARIZATION; RAPID CONVERGENCE; UPPER AND LOWER SOLUTIONS;

EID: 0032373593     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022620813436     Document Type: Article
Times cited : (19)

References (11)
  • 1
    • 0000828809 scopus 로고
    • Functional equations in the theory of dynamic programming, II: Nonlinear differential equations
    • BELLMAN, R., Functional Equations in the Theory of Dynamic Programming, II: Nonlinear Differential Equations, Proceedings of the National Academy of Sciences, Vol. 41, pp. 481-483, 1955.
    • (1955) Proceedings of the National Academy of Sciences , vol.41 , pp. 481-483
    • Bellman, R.1
  • 2
    • 0000828808 scopus 로고
    • Functional equations in the theory of dynamic programming, V: Positivity and quasilinearity
    • BELLMAN, R., Functional Equations in the Theory of Dynamic Programming, V: Positivity and Quasilinearity, Proceedings of the National Academy of Sciences, Vol. 41, pp. 743-746, 1955.
    • (1955) Proceedings of the National Academy of Sciences , vol.41 , pp. 743-746
    • Bellman, R.1
  • 4
    • 0000644280 scopus 로고
    • On nonlinear differential equations, the maximum operation, and monotone convergence
    • KALABA, R., On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence, Journal of Mathematics and Mechanics, Vol. 8, pp. 519-574, 1959.
    • (1959) Journal of Mathematics and Mechanics , vol.8 , pp. 519-574
    • Kalaba, R.1
  • 6
    • 0030189041 scopus 로고    scopus 로고
    • Further improvement of generalized quasilinearization method
    • LAKSHMIKANTHAM, V., Further Improvement of Generalized Quasilinearization Method, Nonlinear Analysis, Vol. 27, pp. 223-227, 1996.
    • (1996) Nonlinear Analysis , vol.27 , pp. 223-227
    • Lakshmikantham, V.1
  • 8
    • 58149321303 scopus 로고
    • Improved quasilinearization (GQL) method
    • LAKSHMIKANTHAM, V., LEELA, S., and MCRAE, F. A., Improved Quasilinearization (GQL) Method, Nonlinear Analysis, Vol. 24, pp. 1627-1637, 1995.
    • (1995) Nonlinear Analysis , vol.24 , pp. 1627-1637
    • Lakshmikantham, V.1    Leela, S.2    McRae, F.A.3
  • 9
    • 0002470530 scopus 로고
    • Generalized quasilinearization for nonlinear first-order ordinary differential equations
    • LAKSHMIKANTHAM, V., and NIETO, J. J., Generalized Quasilinearization for Nonlinear First-Order Ordinary Differential Equations, Nonlinear Times and Digest, Vol. 2, pp. 1-9, 1995.
    • (1995) Nonlinear Times and Digest , vol.2 , pp. 1-9
    • Lakshmikantham, V.1    Nieto, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.