Functional differential equations

Author: Jankowski T.

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 553-563(11)

Publisher: Springer

Abstract:

The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.

Keywords: quasilinearization; monotone iterations; superlinear convergence

Language: English

Document Type: Research article

Affiliations: 1: Technical University of Gdask, Department of Differential Equations, 11/12 G. Narutowicz Str., 80-952 Gdask, Poland, tjank@mifgate.pg.gda.plsk, Department of Differential Equations, 11/12 G. Narutowicz Str., 80-952 Gdask, Poland, tjank@mifgate.pg.gda.pl">

Publication date: 2002-09-01

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