Geodesic
Boundary value problems for ODEs
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 743-756

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Classification : 34A45, 34B05, 34B08, 34B15, 34B99
Keywords: quasilinearization; monotone iterations; quadratic convergence 
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     author = {Jankowski, Tadeusz},
     title = {Boundary value problems for {ODEs}},
     journal = {Czechoslovak Mathematical Journal},
     pages = {743--756},
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     number = {3},
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     zbl = {1080.34511},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a18/}
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Jankowski, Tadeusz. Boundary value problems for ODEs. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 3, pp. 743-756. http://geodesic.mathdoc.fr/item/CMJ_2003__53_3_a18/