Asymptotic Behavior of Some Types of Solutions of Differential Equations with Different Types of Nonlinearities-Reference-Cited by-同舟云学术

Asymptotic Behavior of Some Types of Solutions of Differential Equations with Different Types of Nonlinearities

Published:2023-07 Issue:6 Volume:273 Page:924-938
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Kolun N. P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10958-023-06554-3.pdf

Reference25 articles.

1. V. M. Evtukhov, Asymptotic Representations of Solutions of Nonautonomous Ordinary Differential Equations [in Russian], Doctoral-Degree Thesis (Physics and Mathematics), Kyiv (1998).

2. V. M. Evtukhov and L. A. Kirillova, “On the asymptotics of solutions of nonlinear second-order differential equations,” Differents. Uravn., 41, No. 8, 1053–1061 (2005); English translation: Different. Equat., 41, No. 8, 1105–1114 (2005); https://doi.org/10.1007/s10625-005-0256-5.

3. V. M. Evtukhov and A. M. Klopot, “Asymptotic representations for some classes of solutions of ordinary differential equations of order n with regularly varying nonlinearities,” Ukr. Mat. Zh., 65, No. 3, 354–380 (2013); English translation: Ukr. Math. J., 65, No. 3, 393–422 (2013); https://doi.org/10.1007/s11253-013-0785-7.

4. V. M. Evtukhov and A. M. Klopot, “Asymptotic behavior of solutions of n th-order ordinary differential equations with regularly varying nonlinearities,” Differents. Uravn., 50, No. 5, 584–600 (2014); English translation: Different. Equat., 50, No. 5, 581–597 (2014); https://doi.org/10.1134/S0012266114050024.

5. V. M. Evtukhov and N. P. Kolun, “Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities,” Nelin. Kolyv., 21, No. 3, 323–346 (2018); English translation: J. Math. Sci., 243, No. 3, 381–408 (2019); https://doi.org/10.1007/s10958-019-04546-w.