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Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation. / Sultanov, Oskar.

In: Journal of Physics: Conference Series, Vol. 1205, No. 1, 07.05.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Sultanov, O 2019, 'Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation', Journal of Physics: Conference Series, vol. 1205, no. 1. https://doi.org/10.1088/1742-6596/1205/1/012056

APA

Sultanov, O. (2019). Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation. Journal of Physics: Conference Series, 1205(1). https://doi.org/10.1088/1742-6596/1205/1/012056

Vancouver

Sultanov O. Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation. Journal of Physics: Conference Series. 2019 May 7;1205(1). https://doi.org/10.1088/1742-6596/1205/1/012056

Author

Sultanov, Oskar. / Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation. In: Journal of Physics: Conference Series. 2019 ; Vol. 1205, No. 1.

BibTeX

@article{c0454bb92b2d43d68de08da34ea4175b,
title = "Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlev{\'e} equation",
abstract = "We consider the ordinary differential equation on the real axis that is a complex analogue of the second Painlev{\'e} equation. The solutions with a growing amplitude at positive infinity and the solutions that tend to zero at negative infinity are investigated. By applying Lyapunov function method we analyze the stability of such solutions and construct the long-term asymptotics for general solutions.",
author = "Oskar Sultanov",
year = "2019",
month = may,
day = "7",
doi = "10.1088/1742-6596/1205/1/012056",
language = "English",
volume = "1205",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation

AU - Sultanov, Oskar

PY - 2019/5/7

Y1 - 2019/5/7

N2 - We consider the ordinary differential equation on the real axis that is a complex analogue of the second Painlevé equation. The solutions with a growing amplitude at positive infinity and the solutions that tend to zero at negative infinity are investigated. By applying Lyapunov function method we analyze the stability of such solutions and construct the long-term asymptotics for general solutions.

AB - We consider the ordinary differential equation on the real axis that is a complex analogue of the second Painlevé equation. The solutions with a growing amplitude at positive infinity and the solutions that tend to zero at negative infinity are investigated. By applying Lyapunov function method we analyze the stability of such solutions and construct the long-term asymptotics for general solutions.

UR - http://www.scopus.com/inward/record.url?scp=85066298690&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1205/1/012056

DO - 10.1088/1742-6596/1205/1/012056

M3 - Article

AN - SCOPUS:85066298690

VL - 1205

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

ER -

ID: 126273064