Yang, DandanZhu, HongboBai, Chuanzhi2021-08-022021-08-022007-01-23Yang, D., Zhu, H., & Bai, C. (2007). Positive solutions for semipositone fourth-order two-point boundary value problems. <i>Electronic Journal of Differential Equations, 2007</i>(16), pp. 1-8.1072-6691https://hdl.handle.net/10877/14166In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative. u(4)(t) = ƒ(t, u(t), u″(t)), 0 ≤ t ≤ 1, u′(1) = u″(1) = u‴(1) = 0, ku(0) = u‴(0), where -6 < k < 0, ƒ ≥ -M, and M is a positive constant. Our approach relies on the Krasnosel'skii fixed point theorem.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary value problemPositive solutionSemipositoneFixed pointArticle