Oscillation criteria for second order nonlinear retarded differential equations

D. Lackova, Technical University of Kosice, Kosice, Slovakia

E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 12. (2008), pp. 1-13.

Abstract: The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the second order nonlinear retarded differential equation
$$
\left[r(t)\!\big|\big[x(t)-p(t)x\left[\tau(t)\right]\big]'\big|^{\alpha-1}
\big[x(t)-p(t)x\left[\tau(t)\right]\big]'\right]'+
$$
$$
+\,\,q(t)\big|x\left[\sigma(t)\right]\big|^{\alpha-1}x\left[\sigma(t)\right]=0,
$$
where $\alpha$ is a positive constant and $\tau(t)$ and $\sigma(t)$ are delayed arguments.

You can download the full text of this paper in DVI, PostScript or PDF format.