http://dx.doi.org/10.1006/jmaa.1997.5280

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Title

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

Authors

Authors

R. N. Mohapatra; K. Vajravelu;Y. Yin

Comments

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Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

Mathematics, Applied; Mathematics

Abstract

We apply the generalized quasilinearization method of V. Lakshmikantham (Nonlinear Anal. 27 (1996), 223-227) and the extended method of R. N. Mohapatra, K. Vajravelu, and Y. Yin (J. Optim. Theory Appl., in press) to the first order initial value problem (IVP for short) x'(t) = f(f, x), x(0) = x(0), t is an element of J with wider class functions f and obtain rapid convergence of monotone sequences which converge uniformly to the unique solution of the IVP. (C) 1997 Academic Press.

Journal Title

Journal of Mathematical Analysis and Applications

Volume

207

Issue/Number

1

Publication Date

1-1-1997

Document Type

Article

Language

English

First Page

206

Last Page

219

WOS Identifier

WOS:A1997WM91900013

ISSN

0022-247X

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