Song, Shu; Zhang, Lingling Two point boundary value problem of fourth order differential equation with mixed monotone nonlinear terms. (Chinese. English summary) Zbl 1463.34102 Math. Pract. Theory 50, No. 8, 178-185 (2020). Summary: In this paper, we discuss a class of two point boundary value problem of fourth order differential equation with mixed monotone nonlinear term. By using a class of fixed point theorems of mixed monotone operator and a sum type nonlinear operator, combining with monotone iterative technique and the properties of Green function, we obtain the sufficient conditions which guarantee the existence and uniqueness of positive solution. We also provide iterative sequences for approximating the solution. At last, a concrete example is given to testify the theorem. MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations 34A45 Theoretical approximation of solutions to ordinary differential equations Keywords:fourth-order differential equation; fixed point theorem; boundary value problem; positive solution PDFBibTeX XMLCite \textit{S. Song} and \textit{L. Zhang}, Math. Pract. Theory 50, No. 8, 178--185 (2020; Zbl 1463.34102)