Kaufmann, Eric R.2021-01-082021-01-082003-08-09Kaufmann, E. R. (2003). Positive solutions of a three-point boundary-value problem on a time scale. <i>Electronic Journal of Differential Equations, 2003</i>(82), pp. 1-11.1072-6691https://hdl.handle.net/10877/13090Let T be a time scale such that 0, T ∈ T. We consider the second order dynamic equation on a time scale u∆∇(t) + a(t)f(u(t)) = 0, t ∈ (0,T) ∩ T, u(0) = 0, αu(ƞ) = u(T), where ƞ ∈ (0,ρ(T)) ∩ T, and 0 < α < T/ƞ. We apply a cone theoretic fixed point theorem to show the existence of positive solutions.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalTime scaleConeBoundary-value problemPositive solutionsArticle