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Generalized Quasilinearization Method and Rapid Convergence for First Order Initial Value Problems

✍ Scribed by R.N. Mohapatra; K. Vajravelu; Y. Yin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
162 KB
Volume
207
Category
Article
ISSN
0022-247X

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✦ Synopsis

We apply the generalized quasilinearization method of V. Lakshmikantham Ž Ž . . Nonlinear Anal. 27 1996 , 223᎐227 and the extended method of R. N. Mohapa-Ž . tra, K. Vajravelu, and Y. Yin J. Optim. Theory Appl., in press to the first order Ž . X Ž . Ž . Ž . initial value problem IVP for short x t s f t, x , x 0 s x , t g J with wider 0 class functions f and obtain rapid convergence of monotone sequences which converge uniformly to the unique solution of the IVP.

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