Title

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

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(t, x), x(0) = x0, t ∈ J with wider class functions f and obtain rapid convergence of monotone sequences which converge uniformly to the unique solution of the IVP. © 1997 Academic Press.

Publication Date

3-1-1997

Publication Title

Journal of Mathematical Analysis and Applications

Volume

207

Issue

1

Number of Pages

206-219

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.1997.5280

Socpus ID

0031081856 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0031081856

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