Application of Resurgent Analysis to the Construction of Asymptotics of Linear Differential Equations with Degeneration in Coefficients

Author:

Korovina M. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference21 articles.

1. L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer-Verlag, Berlin–Göttingen–Heidelberg (1959).

2. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York–Toronto–London (1955).

3. J. Ecalle, Cinq applications des fonctions résurgentes, Publ. Math. d’Orsay (1984).

4. D. S. Katz, “Calculation of asymptotics of solutions of equations with polynomial degenerations of coefficients,” Differ. Uravn., 51, No. 12, 1612–1617 (2015).

5. D. S. Katz, “Coefficients of series in asymptotic expansions of solutions to degenerate equations,” Int. J. Open Inform. Technol., 4, No. 9, 1–7 (2016).

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