Wang, QiuyueYang, Lu2021-09-282021-09-282020-05-19Wang, Q., & Yang, L. (2020). Positive solutions for a nonlinear system of fourth-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2020</i>(45), pp. 1-15.1072-6691https://hdl.handle.net/10877/14552In this article, we consider the existence of positive solutions for a nonlinear system of fourth-order ordinary differential equations. By constructing a single cone P in the product space C[0, 1] X C[0, 1] and applying fixed theorem in cones, we establish the existence of positive solutions for a system in which the nonlinear terms are both superlinear or sublinear. In addition, by the construction of the product cone K1 X K2 ⊂ C[0,1] X C[0, 1] along with the product formula of fixed point theory on a product cone, we investigate the existence of positive solutions involving nonlinear terms, one uniformly superlinear or sublinear, and the other locally uniformly sublinear or superlinear.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionFixed Point TheoryOrdinary differential equationArticle