Geodesic
Multipoint boundary value problems for ODEs. Part II
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 843-854.

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We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Classification : 34A45, 34B10, 34B99
Keywords: quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems 
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     author = {Jankowski, Tadeusz},
     title = {Multipoint boundary value problems for {ODEs.} {Part} {II}},
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Jankowski, Tadeusz. Multipoint boundary value problems for ODEs. Part II. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 843-854. http://geodesic.mathdoc.fr/item/CMJ_2004__54_4_a1/