Increasing solutions of \((r(x) y^{(n)})^{(n)}=y f(x)\). (English) Zbl 0863.34032

Knežević-Miljanović, J.

Mat. Vesn. 48, No. 1-2, 23-24 (1996).

The author obtains necessary and sufficient conditions for the existence of different classes of positive, increasing and unbounded solutions of the equation \((r(x) y^{(n)})^{(n)} = y f(x)\).

Reviewer: Boško S.Jovanović

MSC:

34C11

Growth and boundedness of solutions to ordinary differential equations

Keywords:

increasing solution; unbounded solution