... and only if v − 1/ q − rh Δh p−2 hk h < , this means that q − A v and hence also q − Fvv k, v have a constant sign for v ∈ 0, ∞ Therefore, the function F k, v is convex for q ≥ and concave for ... Grace, and D O’Regan, Oscillation Theory of Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, Kluwer Academic, Dordrecht, The Netherlands, 2002 ˇ a O Doˇ ly and P Reh´ k, Half-Linear ... vol 202 of North-Holland Mathematics Studies, s ´ Elsevier, Amsterdam, The Netherlands, 2005 ˇ a P Reh´ k, “Hartman-wintner type lemma, oscillation, and conjugacy criteria for half-linear difference...