Disconjugate operators and related differential equations

Z. Dosla, Masaryk University, Brno, Czech Republic
M. Cecchi,
M. Marini,

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 4. (2000), pp. 1-17.

Abstract: There are studied asymptotic properties of solutions of the nonlinear differential equation $L_nx+ p(t)f(x)=0$, where $L_n$ is disconjugate operator, $p$ is of one sign and $f(u)u>0$ for $u\ne 0$. Some comparison theorems in terms of property A and property B between linear and nonlinear equations are also given which generalize known results for $n=3$.

You can download the full text of this paper in DVI, PostScript or PDF format, or have a look at the Zentralblatt or the Mathematical Reviews entry of this paper.