On the asymptotic properties of solutions of nonlinear third order differential equation. (English) Zbl 0731.34051

Greguš, M.

Arch. Math., Brno 26, No. 2-3, 101-106 (1990).

Author’s summary: We study some asymptotic properties of solutions defined on (a,\(\infty)\) of the differential equation of the form \(u'''+q(t)u'+p(t)u^{\alpha}=0,\) where \(q'(t),p(t)\) are continuous functions of \(t\in (a,\infty)\), a is a real number and \(\alpha\) is an odd integer.

Reviewer: J.O.C.Ezeilo (Nsukka)

MSC:

34D05

Asymptotic properties of solutions to ordinary differential equations

Keywords:

nonlinear third order differential equation; asymptotic properties