Graef, JohnHenderson, JohnnyYang, Bo2021-08-052021-08-052007-03-15Graef, J. R., Henderson, J., & Yang, B. (2007). Positive solutions of a nonlinear higher order boundary-value problem. <i>Electronic Journal of Differential Equations, 2007</i>(45), pp. 1-10.1072-6691https://hdl.handle.net/10877/14206The authors consider the higher order boundary-value problem u(n)(t) = q(t)ƒ(u(t)), 0 ≤ t ≤ 1, u(i-1)(0) = u(n-2)(p) = u(n-1)(1) = 0, 1 ≤ i ≤ n - 2, where n ≥ 4 is an integer, and p ∈ (1/2, 1) is a constant. Sufficient conditions for the existence and nonexistence of positive solutions of this problem are obtained. The main results are illustrated with an example.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalExistence and nonexistence of positive solutionsGuo-Krasnosel'skii fixed point theoremHigher order boundary value problemArticle