Existence of eventually positive solutions of fourth order quasilinear differential equations (Q663737)

Continuing his earlier investigations the author establishes some necessary and sufficient conditions for the existence of eventually positive solutions of the equation \[ (p(t)|u''|^{\alpha -1} u'')''+q(t) |u|^{\beta -1} u = 0 . \] Here \(p(t)\), \(q(t)\) are positive continuous functions defined on \([a,\infty )\), \(a>0\), \(\alpha \), \(\beta \) are positive constants.