Positive increasing solutions of systems of second order singular differential equations (Q2747824)

Here, singular differential systems of the form NEWLINE\[NEWLINE(p(t)|y'|^{\alpha-1}y')'=\varphi(t)z^{-\lambda},\quad (q(t)|z'|^{\beta-1}z')'=\psi(t)y^{-\mu},NEWLINE\]NEWLINE are considered. The set of all positive increasing solutions to the studied systems is classified into six disjoint classes according to their asymptotic behaviour as \(t\to\infty\). The author presents criteria for the considered classes to be empty/nonempty.