On singular solutions of a second order differential equation

M. Bartusek, Masaryk University, Brno, Czech Republic

E. J. Qualitative Theory of Diff. Equ., No. 8. (2006), pp. 1-13.

Abstract: In the paper, sufficient conditions are given under which all nontrivial solutions of $(g(a(t)y'))' + r(t) f (y) = 0$ are proper where $a>0, r>0, f(x) x>0, g(x) x>0$ for $x\ne0$ and $g$ is increasing on $R$. A sufficient condition for the existence of a singular solution of the second kind is given.

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