On the Figured Relative Stability Under Perturbations of Two-Dimensional Continued Fractions with Complex Elements

Author:

Antonova Т. М.,Sus О. М.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference16 articles.

1. T. Antonova and O. Sus’, “On the absolute stability of two-dimensional continued fractions with complex elements under perturbations,” in: Collection of Scientific Works Dedicated to the 80th Birthday of B. I. Ptashnyk “Nonclassical Problems of the Theory of Differential Equations” [in Ukrainian], Institute for Applied Problems in Mechanics and Mathematics, Lviv (2017), pp. 8–21.

2. D. I. Bodnar, Branched Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).

3. D. I. Bodnar, “Evaluation of the error of determination of branched continued fractions,” Dokl. Akad. Nauk Ukr. RSR, Ser. A, No. 12, 1059–1062 (1975).

4. D. I. Bodnar, H. Waadeland, K. I. Kuchmins’ka, and O. M. Sus’, “On the stability of branching continued fractions,” Mat. Metody Fiz.-Mekh. Polya, Issue 37, 3–7 (1994); English translation:J. Math. Sci., 79, No. 6, 1373–1377 (1996). https://doi.org/10.1007/BF02362785.

5. D. I. Bodnar and V. R. Hladun, “Some domains of stability under perturbations for branched continued fractions with complex elements,” Nauk. Visn. Cherniv. Univ., Ser. Mat., Issue 288, 18–27 (2006).

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