Existence of eventually positive solutions of fourth order quasilinear differential equations
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.
scientific article; zbMATH DE number 6009688