On stability properties of solutions of second order differential equations

L. Hatvani, Bolyai Institute, University of Szeged, Hungary

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 11. (2000), pp. 1-6.

Abstract: Stability properties of the solutions of the half-linear differential equation
$$x''|x'|^{n-1}+a_k|x|^{n-1}x=0,\quad (t_k\le t<t_{k+1}),\qquad k=0,1,2\ldots$$
are discussed, where
$$t_0=0,\quad \lim_{k\to\infty}t_k=\infty,$$
$$0<a_0<a_1<\ldots<a_k<a_{k+1}<\ldots,\quad \lim_{k\to\infty}a_k=\infty.$$

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