Jia, MeiLiu, Xiping2021-08-172021-08-172007-08-30Jia, M., & Liu, X. (2007). The Method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2007</i>(116), pp. 1-10.1072-6691https://hdl.handle.net/10877/14331This paper studies the existence and uniqueness of solutions for a type of second-order two-point boundary-value problem depending on the first-order derivative through a non-linear term. By constructing a special cone and using the upper and lower solutions method, we obtain the sufficient conditions of the existence and uniqueness of solutions, and a monotone iterative sequence solving the boundary-value problem. An error estimate formula is also given under the condition of a unique solution.Text10 pages1 file (.pdf)enAttribution 4.0 Internationalupper and lower solutionsconemonotone iterative methodArticle