Geodesic
On a differential-algebraic problem
Applications of Mathematics, Tome 45 (2000) no. 3, pp. 205-215.

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The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
DOI : 10.1023/A:1023018911566
Classification : 34A09, 34A34, 34A45, 34B99
Keywords: differential-algebraic problem; monotone sequences; quadratic convergence 
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Dabrowicz-Tlałka, Anita; Jankowski, Tadeusz. On a differential-algebraic problem. Applications of Mathematics, Tome 45 (2000) no. 3, pp. 205-215. doi : 10.1023/A:1023018911566. http://geodesic.mathdoc.fr/articles/10.1023/A:1023018911566/

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