On a differential-algebraic problem |
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| Authors: | Anita Dabrowicz-Tlałka Tadeusz Jankowski |
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| Institution: | (1) Faculty of Applied Physics and Mathematics, Technical University of Gda sk, G. Narutowicza 11/12, 80-952 Gdask, Poland;(2) Faculty of Applied Physics and Mathematics, Technical University of Gdask, G. Narutowicza 11/12, 80-952 Gdask, Poland |
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| Abstract: | 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. |
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| Keywords: | differential-algebraic problem monotone sequences quadratic convergence |
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