Quadratic approximation of solutions for ordinary differential equations

Bulletin of the Australian Mathematical Society

Volumn 55, Issue 1, 1997, Pages 161-168

  Nieto, Juan J ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031064991     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700030628     Document Type: Article

References (9)

1. R. Bellman, Methods of nonlinear analysis, Vol. II (Academic Press, New York, 1973).
2. R. Bellman and R. Kalaba, Quasilinearization and nonlinear boundary value problems (American Elsevier, New York, 1965).
3. G.S. Ladde, V. Lakshmikantham and A.S. Vatsala, Monotone iterative techniques for nonlinear differential equations (Pitman, Boston, 1985).
4. V. Lakshmikantham and S. Malek, 'Generalized quasilinearization', Nonlinear World 1 (1994), 59-63.
5. V. Lakshmikantham and J.J. Nieto, 'Generalized quasilinearization for nonlinear first order ordinary differential equations', Nonlinear Times and Digest 2 (1995), 1-10.
6. V. Lakshmikantham, N. Shahzad and J.J. Nieto, 'Methods of generalized quasilinearization for periodic boundary value problems', Nonlinear Anal. 27 (1966), 143-151.
7. V. Seda, J.J. Nieto and M. Gera, 'Periodic boundary value problems for nonlinear higher order ordinary differential equations', Appl. Math. Comput. 48 (1992), 71-82.
8. N. Shahzad and A.S. Vatsala, 'Improved generalized quasilinearization method for second order boundary value problem', Dynamic Systems Appl. 4 (1995), 79-85.
9. I. Stakgold, Green's functions and boundary value problems (John Wiley, New York, 1980).