Geodesic
An extension of the method of quasilinearization
Archivum mathematicum, Tome 39 (2003) no. 3, pp. 201-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.
The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.
Classification : 34A12, 34A45
Keywords: quasilinearization; monotone iterations; quadratic convergence 
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Jankowski, Tadeusz. An extension of the method of quasilinearization. Archivum mathematicum, Tome 39 (2003) no. 3, pp. 201-208. http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a5/

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