Guo, Li-JunSun, Jian-PingZhao, Ya-Hong2021-08-172021-08-172007-08-18Guo, L. J., Sun, J. P., & Zhao, Y. H. (2007). Multiple positive solutions for nonlinear third-order three-point boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(112), pp. 1-7.1072-6691https://hdl.handle.net/10877/14327This paper concerns the nonlinear third-order three-point boundary-value problem u‴(t) + h(t)ƒ(u(t)) = 0, t ∈ (0, 1), u(0) = u′(0) = 0, u′(1) = αu′(η), where 0 < η < 1 and 1 < α < 1/η. First, we establish the existence of at least three positive solutions by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2m - 1 positive solutions for arbitrary positive integer m.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalThird-order boundary value problemPositive solutionThree-point boundary value problemExistenceConeFixed pointArticle