Disconjugacy and disfocality criteria for second order singular half-linear differential equations
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 273-284
DOI: 10.4064/ap-72-3-273-284
Abstract
We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation $u'' = p(t)|u|^α |u'|^{1-α} sgn u + g(t)u'$, where α ∈ (0,1] and the functions $p,g ∈ L_{loc}(a,b)$ are allowed to have singularities at the end points t = a, t = b of the interval under consideration.
