M. Bartusek, J. Osicka

On the Existence of Singular Solutions

abstract:
Sufficient conditions are given, under which the equation $y^{(n)}=f(t,y,y^{\prime},\dots ,y^{(l)})g(y^{(n-1)})$ has a singular solution $y\:[T,\tau)\to \bold R$, $\tau <\INFTY$ ,L$ FOR \BOLD _-}Y^{(I)}(T)="c_i\in"