An asymptotic theory is developed for a class of third-order differential equations. We identify a critical case to obtain the asymptotic form of three linearly independent solutions for large $x$.
Asymptotic form of solutions, critical case
ALHAMMADI, AZIZ S. A.
"Asymptotic theory for a critical class of third-order differential equations,"
Turkish Journal of Mathematics: Vol. 44:
6, Article 13.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/13