Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
